We're wrapping up our live coverage of Mr Obama's visit to Kenya, but you can keep up-to-date with the rest of the US leader's trip to his ancestral home on the BBC Africa News website.
The BBC Africa Live page will be back on Monday when the US president will be in Ethiopia.
A reminder of today's wise words: "Whenever lightning strikes, everyone runs to cover his or her own head."
And we leave you with this photo of Kenyans watching Mr Obama on TVs at an electronics shop in the capital, Nairobi.
AFPCopyright: AFP
'Comradely spirit'
Milton Nkosi
BBC News, Nairobi
APCopyright: AP
Unlike some other Western leaders, Mr Obama neither lectured Mr Kenyatta nor patronised him at their joint press conference.
Instead, he spoke like a friend - that Kenya needed to stamp out corruption to attract investments and to make life easier for its own businessmen who have to pay bribes.
And Mr Obama pointed out that the US was also once badly affected by corruption, but it had overcome the problem, giving hope to Kenyans.
AFPCopyright: AFP
What Kenya needs, Mr Obama said, were "visible prosecutions".
Will Mr Kenyatta make sure that this happens or will it be business-as-usual after Mr Obama leaves?
As for gay rights, Mr Kenyatta left the clear impression that Kenya will not legalise homosexual relations.
Mr Obama is likely to continue to speak in favour of gay rights, but there was no indication that the issue could cause a serious rift between the two countries.
ReutersCopyright: Reuters
Obama 'at pains not to offend'
Karen Allen
BBC News, Nairobi
ReutersCopyright: Reuters
Addressing the media after his talks with Mr Kenyatta, Mr Obama re-affirmed the US's commitment to supporting Kenya in its counter-terrorism efforts, something that came as no surprise given the on-going threat posed by militant Islamist group al-Shabab.
But he also ventured into controversial territory when asked about gay rights, which Kenya's Deputy President William Ruto has publically condemned.
At pains not to offend but clearly determined to be blunt, Mr Obama warned that history had shown that when you start treating people differently, "bad things happen" and when "government gets into the habit of treating people differently those habits can spread".
Mr Kenyatta has insisted that gay rights are a non-issue in Kenya, but there is a danger it could overshadow the key message that both leaders want to convey - that on many fronts they stand united.
How Kenya's 'app man' busts through Nairobi traffic
BBCCopyright: BBC
US President Obama has been focusing on how the entrepreneurship found in Kenya is the key to Africa's future.
So meet the man behind a tech start-up that has been making the lives of Nairobi's commuters less stressful, and find out his advice to Mr Obama, whose presidential car, "The Beast", does not have to contend with any traffic jams.
Listen to the joint press conference
If you've an hour to spare you can listen to the whole presidential press conference at Kenya's State House again, thanks to this recording put up by the
BBC's Kelvin Brown
.
It's all systems go for those preparing for this evening's state dinner to be attended by President Obama, says the BBC's Ruth Nesoba.
BBCCopyright: BBC
BBCCopyright: BBC
The man in charge of the feast if Chef Kilel of the Intercontinental Hotel. It looks like blueberries are also on the menu:
BBCCopyright: BBC
Maasai men watch Obama on TV
Mr Obama's visit has generated huge interest across Kenya, where people see him as "one of their own" because his father was born there.
In this photo, men dressed in the traditional clothes of the Maasai ethnic group follow his visit on television at a low-budget hotel in Kiserian town in the Rift Valley region - one of the most scenic parts of the East African state:
Kenya's deputy president backed over gay rights opposition
BBC correspondent tweets about Mr Kenyatta going head-to-head with Mr Obama over the issue of gay rights. The Kenyan president said it was a "non-issue" in the East African nation where homosexual acts are illegal:
BBC reporter tweets about the end of the press conference at State House in Nairobi where the US and Kenyan leaders have just finished taking questions:
Mr Obama says countries can disagree, but "that's the nature of friends".
'No violence in elections'
Mr Obama says all countries should be "held to high standards" to ensure elections do not cause violence.
'Robust relationship'
Mr Obama says relations between US and Kenya have continued "robustly" throughout his presidency, even when Mr Kenyatta faced charges in relation to post-election violence at the International Criminal Court (ICC) - which have now been dropped.
Kenyatta defies Obama
BBC correspondent tweets from State House in Nairobi:
Mr Obama is now fielding questions from journalists.
Regional crisis discussed
Mr Obama said regional crises were also discussed - including Burundi, where he said presidential elections were not credible, and South Sudan, where conflict had caused "unbearable suffering".
Mr Obama has defended his "Power Africa" initiative, following claims that the $7bn (£4.5bn)plan has failed to achieve its goal of doubling access to electricity in Africa, Kenya's Daily Nation newspaper reports.
"We are well on our way," Mr Obama said, as he met five vendors in Nairobi using solar technology to further the project's goal of creating 30,000 megawatts of "new, cleaner electricity generation capacity".
During a visit to Africa in 2013, Mr Obama launched the initiative to much fanfare, but reports have suggested that it has so far failed to produce any power, the paper says.
Blunt messages for America
With all the talk of frank messages that President Obama had to deliver to Africa, the BBC's Aleem Maqbool asked those at the entrepreneurship conference what "blunt messages" they would issue to America if they had a chance:
"The shootings in America for me are scarier than what is happening in Kenya. An attack in our mall is just a one-off, but for America it feels like every day there's some attack, not from Muslims but some random acts in malls or schools, that's really scary for me. Something needs to be done."
"I feel Americans have a bad perception of immigrants coming to their country. We tend to feel that we would not be welcomed in America the way Americans are welcomed here. That should change, it is a two-way street."
"From what is on the media but it is extremely appalling, shocking and horrifying what is going on to the black community in America; with police brutality, all these killings, everything being swept under the rug, investigations don't happen. They definitely have to do something about that and stop the violence."
"The feeling is 'clean your house first'. The biggest questions are around race relations. I think President Obama is trying to address some of those issues but there is a long way to go from others. They also need to change their perceptions of what Africa is like."
Officials leave Obama summit
Ruth Nesoba
BBC Africa, Nairobi
BBCCopyright: BBC
Several top-ranking Kenyan government officials have left the talks inside State House, following the meeting with President Obama's delegation.
There is still no sign of Mr Obama and Kenya's President Uhuru Kenyatta. Journalists are waiting for the two to address them.
Kenyan television stations are positioned to give live coverage:
BBCCopyright: BBC
Obama's controversial handshake
Mr Obama has met Kenya's deputy president, who is on trial at the International Criminal Court for allegedly fuelling ethnic violence following disputed elections in 2007 - a charge he denies:
Celebrating Obama in ancestral home
Catherine Byaruhanga
BBC Africa, Kogelo
BBCCopyright: BBC
Celebrations are taking place in western Kenya's Kogelo village, the birthplace of Mr Obama's father, to mark his "homecoming":
BBCCopyright: BBC
Mr Obama will not be visiting, but it has not dampened the enthusiasm of residents:
BBCCopyright: BBC
An exhibition is also taking place to showcase investment opportunities in the region:
BBCCopyright: BBC
Photos of historic visit
Here are more photos of the crowds which lined the streets of Nairobi for Mr Obama's first full day in the city as US president:
AFPCopyright: AFP
These people stood behind a fence to get a glimpse of the US president's convoy:
AFPCopyright: AFP
Mr Kenyatta welcomed him at State House before they sat down to talk:
State House is heaving with journalists all bustling for a good position for the press conference after the presidential talks, says the BBC's Ruth Nesoba.
BBCCopyright: BBC
BBCCopyright: BBC
And behind the scenes, the catering staff are getting ready for preparing for the state dinner:
BBCCopyright: BBC
BBCCopyright: BBC
Stability and prosperity
Lerato Mbele
BBC Africa Business Report, Nairobi
APCopyright: AP
At their meeting, Mr Obama and Mr Kenyatta will be looking to deepen relations to counter the threat militant Islamist group al-Shabab poses in the region.
US officials have been stressing that there is a direct link between political stability and economic prosperity.
Kenya is East Africa's biggest economy, and has a large army which is helping to fight al-Shabab in neighbouring Somalia.
State House security screening cleared
Our reporter attending the press conference later this afternoon at State House in Kenya has made it through the security screening:
Presidents Obama and President Kenyatta have settled down for bilateral talks at Nairobi's State House, as state-owned KBC TV shows:
KBCCopyright: KBC
No 'Obamamania' in Ethiopia
Al-Jazeera reporter tweets on the little interest Ethiopia's state-owned media has shown in Mr Obama's visit tomorrow, even though he will become the first serving US president to go there:
Listen to the gun salute for Obama
BBC Somali Service reporter tweets a recording of the gun salute that Mr Obama received at State House in Nairobi:
The red carpet outside State House has been removed. Mr Obama and Mr Kenyatta are in the building for their closed-door meeting, which is expected to focus on the security threat posed by militant Islamists in the region.
National flags fly
The Kenyan and American flags are fluttering at State House in Kenya's capital, Nairobi.
Gun salute for Obama
President Obama received a ceremonial welcome at State House for his meeting with Kenya's leader Uhuru Kenyatta - he was given a 21-gun salute, the Nairobi-based Daily Nation newspaper reports.
Crowd disappointed not to see Obama
BBC reporter in Nairobi tweets:
Crowds seeking to glimpse Obama
BBC journalist tweets from the crowds hoping to catch a glimpse of the US president:
About a dozen survivors were present when President Obama laid the wreath at the memorial of more than 200 people killed in the 1998 bombing of the US embassy in Nairobi, the AFP news agency reports.
Mr Obama placed the wreath on a holder in front of a wall engraved with the names of the dead and stood for a moment in silence.
The scene was quiet except for the sound of a fountain just behind Mr Obama and the distant sound of an assembled crowd of well wishers who were kept back by police, AFP reports.
Obama memorial photo
Here's another photo of Mr Obama laying a wreath at the memorial of more than 200 people killed in a 1998 bombing by al-Qaeda in Nairobi:
APCopyright: AP
Ruto will meet Obama
BBC reporter tweets that Kenya's deputy president, who is currently on trial at the International Criminal Court on violence-related charges he denies, will meet President Obama later:
The US president made a good pitch for Africa when he declared that the continent is "on the move".
Barack Obama strongly backed women, saying they were "powerhouse entrepreneurs".
But when he said there was a reason why his name was Barack Hussein Obama - his father was Kenyan - it was clear that this trip was a personal journey.
His opposite number, Uhuru Kenyatta, said Africa did not claim perfection, but it could claim progress.
The two leaders seemed to have a warm relationship, but have still got a way to go to re-establish total trust.
Relations became strained after the Obama administration warned Kenyans of "consequences" if they elected him to office in the 2013 election, as he then faced charges of fuelling ethnic violence that have since been dropped by the International Criminal Court.
Did Obama read our travel tips?
President Obama's remarks this morning in Sheng, Kenya's street lingo, show he may have taken on board the travel tips offered by our columnist Joseph Warungu, who told him: "You'll need it to move smoothly in many of Nairobi's inner suburbs."
The
@gathara
cartoon in Kenya's Daily Nation newspaper makes a controversial point about alleged corruption as President visits the East African nation to promote entrepreneurship, which he said in his speech earlier was a way of to "push back against corruption":
The BBC's Wanyama wa Chebusiri has just snapped these dancers who are waiting to welcome Mr Obama at the site of the 1998 al-Qaeda bombing of the US embassy in Nairobi - an attack which left more than 200 people dead:
BBCCopyright: BBC
BBCCopyright: BBC
BBCCopyright: BBC
Can that tech start-up help me?
BBC Monitoring
Janet Onyango
A Twitter user wondered how the tech start-up Hello Tractor, whose founder shared a stage with President Obama at the Global Enterprise Summit earlier this morning, could help his farming business:
Obama meet-and-greet
Mr Obama has is now visiting the Power Africa Innovation Fair in Nairobi, where he met June Muli, the head of customer care at M-Kopa, which offers a "pay-as-you-go" solar energy service to homes:
AFPCopyright: AFP
Obama's 'game show'
Karen Allen
BBC News, Nairobi
It looked more like the start of a game show than the formal opening of an entrepreneurship summit, but it seemed fitting for an event - the first in Mr Obama's schedule - directed at promoting business among youth.
His programme will switch the focus to security later, when he holds bilateral talks with President Kenyatta.
The US is keen to deepen the ties on counter-terrorism efforts, in the face of continuing attacks by the Somalia-based militant Islamist group al-Shabab.
Obama's quotable quotes
APCopyright: AP
Here are some of the best quotes from Mr Obama's speech:
Africa is on the move, Africa is one of the fastest growing regions in the world
When I was here in Nairobi 10 years ago. It looked different from what it looks today! There's a lot of progress. I'm proud of all you
Women are powerhouse entrepreneurs
On the importance of women in business: If half your team is not playing, you've got a problem
Entrepreneurship offers a positive alternative to the ideologies of violence and division that can all too often fill the void when young people don't see a future for themselves
Entrepreneurship... helps citizens stand up for their rights and push back against corruption.
'No breadcrumbs'
BBC Monitoring
Janet Onyango
A Kenyan reacts to President Obama's call for greater support for women entrepreneurs:
Kenyatta's quotable quotes
APCopyright: AP
Here are some of the best quotes from Kenyan President Uhuru Kenyatta's speech at the Global Entrepreneurship Summit in Nairobi:
Africa is open and ready for business
Kenya is a hotbed of vibrant culture, spectacular natural beauty, and infinite possibility
The narrative of African despair is false, and indeed was never true
As large parts of the world age, Africa grows younger by the day. The youthful sons and daughters of Africa are our incredible resource
Africa is the world's newest and most promising frontier of limitless opportunity
Gone are the days when the only lens to view our continent wasone of despair and indignity
On the reopening of Westgate shopping centre last week: Its flagship store proceeded to record more sales on the first day than on any other in the mall's history
We are truly a nation that shames its saboteurs and detractors.
Obama's speech in four tweets:
The US embassy's summary of President Obama's appearance at the Entrepreneurship Summit in Nairobi:
Kenyans on Twitter have been live tweeting quotes from President Obama's speech at the opening of the Global Entrepreneurship Summit. They have also been reacting to the brief panel discussion following the president's speech:
One Twitter user commented on President Obama's greeting in Sheng, a popular slang version of Kiswahili:
BBC correspondent tweets from the business conference in the Kenya capital, with President Obama and President Kenyatta on stage with young business people:
Mr Obama is speaking again, informally. He stresses that women should become more involved in efforts to boost economies.
"If half of the team is not playing you got a problem," he says.
'Bottlenecks'
Mr Kenyatta has spoken again briefly, saying "bottlenecks" - referring to red tape - needs to be removed to help the business sector.
Slang: 'How are you folks?'
The BBC's Anne Soy in Nairobi translates the Kenyan street language Sheng phrase President Obama used when he greeted the crowd at the entrepreneurship summit:
Today's business will focus on entrepreneurship and security.
President Obama has already praised what he called the "dynamism" of Kenya's business class and is expected to call for greater efforts to tackle corruption.
AFPCopyright: AFP
But it is security and Kenya's counter-terrorism efforts which are likely to dominate bi-lateral talks later in the day.
The importance of the relationship between the two countries is being underscored by a brief visit Mr Obama's expected to make to a memorial on the site of the 1998 US embassy attack in Nairobi.
Since the bombing, Kenya has found itself the focus of assaults by the Somalia-based Islamist group al-Shabab - among them the 2013 siege at the Westgate shopping centra and a bloody assault on a university in Garissa in April
Kenya 'neutral'
Kenya is neither aligned to East or West, Mr Kenyatta says.
'Welcome home'
Kenya's president has been introduced with a ululation to address the business summit in Nairobi. Uhuru Kenyatta said Kenyans were proud to "welcome home" Mr Obama, the "cradle of civilisation".
Obama arrives
Robert Kiptoo
BBC Africa, Kenya
Mr Obama has already arrived at the venue of the summit. He used a decoy convoy and no-one realised he had come.
Kenyatta at summit
Robert Kiptoo
BBC Africa, Kenya
Kenyan leader Uhuru Kenyatta has arrived at the UN headquarters in the capital, Nairobi, where US President Barack is due to address a business summit:
BBCCopyright: BBC
Obama arrives
BBC reporter tweets:
'Kenya here I am'
The newspapers today are also dominated by the visit, viewed by many Kenyans as a "homecoming".
AFPCopyright: AFP
Historic visit
US leader tweeted after his arrival:
Wise words
Today's African proverb: "Whenever lightning strikes, everyone runs to cover his or her own head" - The BBC's Wisdom of Africa book.
AFPCopyright: AFP
Good morning
Welcome to BBC Africa Live for our special coverage of US President Barack Obama's first visit to his ancestral home of Kenya since he took office in 2009. We will be bringing you up-to-date developments across the day.
Live Reporting
Farouk Chothia and Lucy Fleming
All times stated are UK
Get involved
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- When I was here in Nairobi 10 years ago. It looked different from what it looks today! There's a lot of progress. I'm proud of all you
- Women are powerhouse entrepreneurs
- On the importance of women in business: If half your team is not playing, you've got a problem
- Entrepreneurship offers a positive alternative to the ideologies of violence and division that can all too often fill the void when young people don't see a future for themselves
- Entrepreneurship... helps citizens stand up for their rights and push back against corruption.
APCopyright: AP - Africa is open and ready for business
- Kenya is a hotbed of vibrant culture, spectacular natural beauty, and infinite possibility
- The narrative of African despair is false, and indeed was never true
- As large parts of the world age, Africa grows younger by the day. The youthful sons and daughters of Africa are our incredible resource
- Africa is the world's newest and most promising frontier of limitless opportunity
- Gone are the days when the only lens to view our continent wasone of despair and indignity
- On the reopening of Westgate shopping centre last week: Its flagship store proceeded to record more sales on the first day than on any other in the mall's history
- We are truly a nation that shames its saboteurs and detractors.
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Latest PostScroll down for all the updates
That's all for today
We're wrapping up our live coverage of Mr Obama's visit to Kenya, but you can keep up-to-date with the rest of the US leader's trip to his ancestral home on the BBC Africa News website.
The BBC Africa Live page will be back on Monday when the US president will be in Ethiopia.
A reminder of today's wise words: "Whenever lightning strikes, everyone runs to cover his or her own head."
Click here to send us your African proverbs.
And we leave you with this photo of Kenyans watching Mr Obama on TVs at an electronics shop in the capital, Nairobi.
'Comradely spirit'
Milton Nkosi
BBC News, Nairobi
Unlike some other Western leaders, Mr Obama neither lectured Mr Kenyatta nor patronised him at their joint press conference.
Instead, he spoke like a friend - that Kenya needed to stamp out corruption to attract investments and to make life easier for its own businessmen who have to pay bribes.
And Mr Obama pointed out that the US was also once badly affected by corruption, but it had overcome the problem, giving hope to Kenyans.
What Kenya needs, Mr Obama said, were "visible prosecutions".
Will Mr Kenyatta make sure that this happens or will it be business-as-usual after Mr Obama leaves?
As for gay rights, Mr Kenyatta left the clear impression that Kenya will not legalise homosexual relations.
Mr Obama is likely to continue to speak in favour of gay rights, but there was no indication that the issue could cause a serious rift between the two countries.
Obama 'at pains not to offend'
Karen Allen
BBC News, Nairobi
Addressing the media after his talks with Mr Kenyatta, Mr Obama re-affirmed the US's commitment to supporting Kenya in its counter-terrorism efforts, something that came as no surprise given the on-going threat posed by militant Islamist group al-Shabab.
But he also ventured into controversial territory when asked about gay rights, which Kenya's Deputy President William Ruto has publically condemned.
At pains not to offend but clearly determined to be blunt, Mr Obama warned that history had shown that when you start treating people differently, "bad things happen" and when "government gets into the habit of treating people differently those habits can spread".
Mr Kenyatta has insisted that gay rights are a non-issue in Kenya, but there is a danger it could overshadow the key message that both leaders want to convey - that on many fronts they stand united.
How Kenya's 'app man' busts through Nairobi traffic
US President Obama has been focusing on how the entrepreneurship found in Kenya is the key to Africa's future.
So meet the man behind a tech start-up that has been making the lives of Nairobi's commuters less stressful, and find out his advice to Mr Obama, whose presidential car, "The Beast", does not have to contend with any traffic jams.
Listen to the joint press conference
If you've an hour to spare you can listen to the whole presidential press conference at Kenya's State House again, thanks to this recording put up by the BBC's Kelvin Brown .
Dishing it out for Obama
It's all systems go for those preparing for this evening's state dinner to be attended by President Obama, says the BBC's Ruth Nesoba.
The man in charge of the feast if Chef Kilel of the Intercontinental Hotel. It looks like blueberries are also on the menu:
Maasai men watch Obama on TV
Mr Obama's visit has generated huge interest across Kenya, where people see him as "one of their own" because his father was born there.
In this photo, men dressed in the traditional clothes of the Maasai ethnic group follow his visit on television at a low-budget hotel in Kiserian town in the Rift Valley region - one of the most scenic parts of the East African state:
'Airforce One Obama' born
BBC reporter in Nairobi tweets:
These are not the first children to be named after the US president, as the BBC's Milton Nkosi reported earlier this week from the western town of Kogelo .
Flag lowered at State House
President Obama has left State House after the press conference with his Kenyan counterpart:
But there ceremonial duties are not done, says our BBC Somali Service reporter:
On what topic was Obama weakest?
BBC correspondent travelling with the US president tweets:
'Obama kept his gay rights promise'
BBC reporter in Nairobi shares his view on the press conference given by the US leader and his Kenyan counterpart:
Obama-Kenyatta remarks summed up in less than 140 characters
BBC reporter tweets from Nairobi:
Kenya's deputy president backed over gay rights opposition
BBC correspondent tweets about Mr Kenyatta going head-to-head with Mr Obama over the issue of gay rights. The Kenyan president said it was a "non-issue" in the East African nation where homosexual acts are illegal:
Obama to bring daughters to Kenya
BBC reporter in Nairobi jokes about the US leader's closing remarks at the press conference:
Presidential pat on the back
BBC reporter tweets about the end of the press conference at State House in Nairobi where the US and Kenyan leaders have just finished taking questions:
The press conference ends
President Obama ends with a thank you - "asante sana" - in KiSwahili.
The press conference finishes with the two leaders leaving the stage.
Obama: 'I'll be back'
Mr Obama says he will continue philanthropic work in Kenya after he steps down as president.
"I'll be back. The next time I'll be back I may not be wearing a suit," he adds.
When he first visited Kenya he came in jeans and with a backpack, he says.
Obama: 'I don't meddle in travel advisories'
BBC reporter tweets about the US president's response to American travel warnings because of terror threats:
Obama's 'new aunties and uncles'
BBC reporter tweets about the family members the US leader said he met on Friday:
Obama's African legacy
Mr Obama will be remembered for his focus on Africa's youth, Kenyan President Kenyatta says, as he takes the microphone again.
This will be his "key legacy", he adds.
Obama on the presidential 'bubble'
BBC reporter tweets about the US leader's response to a question about his Kenyan relatives:
Obama on his family
Mr Obama says he met his relatives last night - some for the first time - and their chats focused mostly on "catching up".
Electricity will be a 'game-changer'
If sub-Saharan Africa can be electrified at the level of Asia, its economy will grow "exponentially" and will be a "game-changer", the US leader says.
Power Africa in numbers
BBC Africa correspondent for the UK Guardian tweets from the presidential press conference at State House:
Obama on electricity
Mr Obama says the US will achieve its goal of helping Africa to improve its electricity supply through the investment of billions of dollars.
'Building on past'
"I want to build on what's already being done," Mr Obama adds.
Obama 'proud'
Mr Obama is speaking - he is proud of what previous US governments have done in Africa, he says.
'No diplomacy here' at State House
BBC reporter tweets from Kenya's State House where the US and Kenyan presidents are addressing a press conference:
Kenyan 'dreams'
President Kenyatta is now speaking - he repeats that Kenya wants economic progress and to achieve its "dreams".
'Prosecutions needed'
Mr Obama says there needs to be high-profile prosecutions in Kenya to show corruption will not be tolerated.
Chicago and corruption
BBC reporter tweets about the US president talking about his home town in the US where corruption was once rife:
'Pay police properly'
Mr Obama says police officers and civil servants must be paid properly to help curb corruption, but sometimes it just required "breaking the habit".
Kenyans 'sapped by corruption'
BBC correspondent at Kenya's State House tweets:
Corruption in US
The US had corruption, dating back to the founding of the country but over time it was stopped, Mr Obama says.
Corruption worries investors
Corruption makes investment less attractive, Mr Obama says.
Corruption ' biggest impediment for Kenya'
BBC reporter tweets from the press conference at State House in Kenya where the US leader is answering questions:
'Friends disagree'
Mr Obama says countries can disagree, but "that's the nature of friends".
'No violence in elections'
Mr Obama says all countries should be "held to high standards" to ensure elections do not cause violence.
'Robust relationship'
Mr Obama says relations between US and Kenya have continued "robustly" throughout his presidency, even when Mr Kenyatta faced charges in relation to post-election violence at the International Criminal Court (ICC) - which have now been dropped.
Kenyatta defies Obama
BBC correspondent tweets from State House in Nairobi:
Obama speaks again
Mr Obama is taking questions again.
'Can't impose values on people'
BBC reporter in Nairobi tweets:
Gay rights a 'non-issue' for Kenya
On gay rights, Mr Kenyatta says Kenya shares many values with the US but "some things we don't share".
Gay rights was a "non-issue "for Kenyans, he said.
Kenya 'learning to handle terrorism'
BBC Africa security reporter tweets from Kenya's State House:
Learning curve
Kenya was learning to tackle militant Islamists - a threat it had not faced before, Mr Kenyatta says.
Militant threat
The battle against al-Shabab is not just a "Kenyan war", and efforts to weaken the Islamist militant group needs to continue, he says.
"This is an existential fight for us," Mr Kenyatta adds.
Obama 'at his most impassioned on gay rights'
BBC correspondent tweets from Kenya's State House:
Kenyatta takes mic
Kenya President Kenyatta is now speaking to answer the questions about counter-terrorism and gay rights.
'Wrong to abuse'
It was wrong to abuse people because of whom they loved, Mr Obama adds.
Obama answering questions
BBC reporter tweets a clip of the US leader answering questions at Kenya's State House with regard to count-terror measures.
'Don't discriminate'
On gay rights, Mr Obama says he believes in treating people equally and there should be no discrimination. Otherwise "freedoms begin to erode".
'Reducing al-Shabab territory'
BBC reporter tweets from Kenya's State House as the US president answers questions from correspondents:
'Fight poison'
Both Kenya and the US need to "fight poison being fed to young people" by militants via socia. media, Mr Obama says.
Terror recruitment warning from Obama
BBC Africa security correspondent tweets about the US president's comments about fight terrror threats in East Africa:
'Intelligence sharing'
Mr Obama adds that more is progress needed on intelligence sharing, and the US will give additional funding and training to Kenya.
Kenya's dynamism for the future
BBC correspondent tweets a few moments ago from Kenya's State House:
Militants 'weakened'
The Somalia-based militant Islamists have been "weakened", but they can still do "a lot of damage", Mr Obama says.
Security co-operation
Mr Obama said there has been "extensive and effective" co-operation with Kenya to deal with threats posed by militant Islamist group al-Shabab.
Respect for human rights
BBC Africa security correspondent tweets:
Question time
Mr Obama is now fielding questions from journalists.
Regional crisis discussed
Mr Obama said regional crises were also discussed - including Burundi, where he said presidential elections were not credible, and South Sudan, where conflict had caused "unbearable suffering".
Corruption battle commended
BBC correspondent tweets:
'Visas to be extended'
BBC Africa security reporter tweets:
'United against terror'
Kenya and the US are united in the fight against "terrorism", Mr Obama adds.
'Insidious threats'
Mr Obama says both countries are facing "insidious threats".
'Stronger ties'
Mr Obama says talks with Mr Kenyatta focused on strengthening economic relations.
Kenyatta speech
BBC reporter tweets a clip of some of President Kenyatta's comments:
'Feisty press'
Mr Obama praises Kenya's democracy, saying it has a "determined, active and feisty press" and a vibrant civil society.
Capturing the moment
BBC reporter tweets:
Hello from Obama
President Obama greets the press conference with the KiSwahili greeting: "Habari".
'Thanks Obama'
Mr Kenyatta thanks Mr Obama for the support he has shown Kenya.
'Peaceful future'
"We want to build a peaceful future," Mr Kenyatta says.
'Fragile dream'
Without shared prosperity, the vision to secure Africa will remain a "fragile dream", President Kenyatta adds.
Kenyatta speaks
Kenya and US share "deep values", Mr Kenyatta says.
Obama press conference
Mr Kenyatta and Mr Obama are walking out of the State House building, and getting ready to address the media.
Sharing a joke at State House
Kenya's government has tweeted a photo from the meeting between Mr Kenyatta and Mr Obama:
Waiting game at State House in Kenya
BBC reporter in Nairobi tweets:
Obama defends record
Mr Obama has defended his "Power Africa" initiative, following claims that the $7bn (£4.5bn)plan has failed to achieve its goal of doubling access to electricity in Africa, Kenya's Daily Nation newspaper reports.
"We are well on our way," Mr Obama said, as he met five vendors in Nairobi using solar technology to further the project's goal of creating 30,000 megawatts of "new, cleaner electricity generation capacity".
During a visit to Africa in 2013, Mr Obama launched the initiative to much fanfare, but reports have suggested that it has so far failed to produce any power, the paper says.
Blunt messages for America
With all the talk of frank messages that President Obama had to deliver to Africa, the BBC's Aleem Maqbool asked those at the entrepreneurship conference what "blunt messages" they would issue to America if they had a chance:
"The shootings in America for me are scarier than what is happening in Kenya. An attack in our mall is just a one-off, but for America it feels like every day there's some attack, not from Muslims but some random acts in malls or schools, that's really scary for me. Something needs to be done."
"I feel Americans have a bad perception of immigrants coming to their country. We tend to feel that we would not be welcomed in America the way Americans are welcomed here. That should change, it is a two-way street."
"From what is on the media but it is extremely appalling, shocking and horrifying what is going on to the black community in America; with police brutality, all these killings, everything being swept under the rug, investigations don't happen. They definitely have to do something about that and stop the violence."
"The feeling is 'clean your house first'. The biggest questions are around race relations. I think President Obama is trying to address some of those issues but there is a long way to go from others. They also need to change their perceptions of what Africa is like."
Officials leave Obama summit
Ruth Nesoba
BBC Africa, Nairobi
Several top-ranking Kenyan government officials have left the talks inside State House, following the meeting with President Obama's delegation.
There is still no sign of Mr Obama and Kenya's President Uhuru Kenyatta. Journalists are waiting for the two to address them.
Kenyan television stations are positioned to give live coverage:
Obama's controversial handshake
Mr Obama has met Kenya's deputy president, who is on trial at the International Criminal Court for allegedly fuelling ethnic violence following disputed elections in 2007 - a charge he denies:
Celebrating Obama in ancestral home
Catherine Byaruhanga
BBC Africa, Kogelo
Celebrations are taking place in western Kenya's Kogelo village, the birthplace of Mr Obama's father, to mark his "homecoming":
Mr Obama will not be visiting, but it has not dampened the enthusiasm of residents:
An exhibition is also taking place to showcase investment opportunities in the region:
Photos of historic visit
Here are more photos of the crowds which lined the streets of Nairobi for Mr Obama's first full day in the city as US president:
These people stood behind a fence to get a glimpse of the US president's convoy:
Mr Kenyatta welcomed him at State House before they sat down to talk:
Obama and Ruto come face-to-face
Reuters White House correspondent tweets:
The presidents' chefs at State House
The official Twitter account of Kenya's government has tweeted some photos of the men who cook for the Kenyan and US leaders:
One Tweeter responded:
Media scrum
State House is heaving with journalists all bustling for a good position for the press conference after the presidential talks, says the BBC's Ruth Nesoba.
And behind the scenes, the catering staff are getting ready for preparing for the state dinner:
Stability and prosperity
Lerato Mbele
BBC Africa Business Report, Nairobi
At their meeting, Mr Obama and Mr Kenyatta will be looking to deepen relations to counter the threat militant Islamist group al-Shabab poses in the region.
US officials have been stressing that there is a direct link between political stability and economic prosperity.
Kenya is East Africa's biggest economy, and has a large army which is helping to fight al-Shabab in neighbouring Somalia.
State House security screening cleared
Our reporter attending the press conference later this afternoon at State House in Kenya has made it through the security screening:
Pictures of the State House welcome
Kenya's president has just tweeted photos showing the arrival of President Obama at State House:
Flying two flags
While many people were disappointed that they never got a chance to meet Mr Obama, these people showed their excitement on the streets of Nairobi:
Security check for reporters at State House
BBC Somali Service reporter in Nairobi tweets:
The official talks begin
Janet Onyango
BBC Monitoring, Nairobi
Presidents Obama and President Kenyatta have settled down for bilateral talks at Nairobi's State House, as state-owned KBC TV shows:
No 'Obamamania' in Ethiopia
Al-Jazeera reporter tweets on the little interest Ethiopia's state-owned media has shown in Mr Obama's visit tomorrow, even though he will become the first serving US president to go there:
Listen to the gun salute for Obama
BBC Somali Service reporter tweets a recording of the gun salute that Mr Obama received at State House in Nairobi:
Two leaders set for talks
The red carpet outside State House has been removed. Mr Obama and Mr Kenyatta are in the building for their closed-door meeting, which is expected to focus on the security threat posed by militant Islamists in the region.
National flags fly
The Kenyan and American flags are fluttering at State House in Kenya's capital, Nairobi.
Gun salute for Obama
President Obama received a ceremonial welcome at State House for his meeting with Kenya's leader Uhuru Kenyatta - he was given a 21-gun salute, the Nairobi-based Daily Nation newspaper reports.
Crowd disappointed not to see Obama
BBC reporter in Nairobi tweets:
Crowds seeking to glimpse Obama
BBC journalist tweets from the crowds hoping to catch a glimpse of the US president:
Presidents to meet now at State House
Reuters correspondent in Nairobi tweets:
'Silence' at memorial
About a dozen survivors were present when President Obama laid the wreath at the memorial of more than 200 people killed in the 1998 bombing of the US embassy in Nairobi, the AFP news agency reports.
Mr Obama placed the wreath on a holder in front of a wall engraved with the names of the dead and stood for a moment in silence.
The scene was quiet except for the sound of a fountain just behind Mr Obama and the distant sound of an assembled crowd of well wishers who were kept back by police, AFP reports.
Obama memorial photo
Here's another photo of Mr Obama laying a wreath at the memorial of more than 200 people killed in a 1998 bombing by al-Qaeda in Nairobi:
Ruto will meet Obama
BBC reporter tweets that Kenya's deputy president, who is currently on trial at the International Criminal Court on violence-related charges he denies, will meet President Obama later:
Obama lays wreath
White House reporter for The Associated Press tweets:
Kenyatta word-by-word
Kenya's president tweets:
Travelling by school bus
BBC producer in Nairobi tweets:
'The president was cool'
BBC correspondent tweets after an entrepreneur meets President Obama at the Power Africa Innovation Fair:
Recce for Obama
BBC reporter in Nairobi tweets on security activity before Mr Obama's vehicle, known as The Beast, passes by:
'Good pitch' for Africa
Milton Nkosi
BBC News, Nairobi
The US president made a good pitch for Africa when he declared that the continent is "on the move".
Barack Obama strongly backed women, saying they were "powerhouse entrepreneurs".
But when he said there was a reason why his name was Barack Hussein Obama - his father was Kenyan - it was clear that this trip was a personal journey.
His opposite number, Uhuru Kenyatta, said Africa did not claim perfection, but it could claim progress.
The two leaders seemed to have a warm relationship, but have still got a way to go to re-establish total trust.
Relations became strained after the Obama administration warned Kenyans of "consequences" if they elected him to office in the 2013 election, as he then faced charges of fuelling ethnic violence that have since been dropped by the International Criminal Court.
Did Obama read our travel tips?
President Obama's remarks this morning in Sheng, Kenya's street lingo, show he may have taken on board the travel tips offered by our columnist Joseph Warungu, who told him: "You'll need it to move smoothly in many of Nairobi's inner suburbs."
Click here for his other advice to the US leader.
Obama flies to next event
BBC reporter in Nairobi tweets
Crowds in Nairobi
The BBC's Peter Njoroge says Kenyans are out in force near the site of the 1998 US embassy blast, where President Obama is expected to arrive soon:
It will be the first event during the US leaders visit to which members of the public have been allowed:
In their own voices
Listen to the two presidents in their own voices, thanks to the BBC's Kelvin Brown who has uploaded their speeches to SoundCloud:
Nairobi's deserted streets
BBC reporter tweets about the continued heightened security in the Kenyan capital for President Obama's visit:
Corruption cartoon
The @gathara cartoon in Kenya's Daily Nation newspaper makes a controversial point about alleged corruption as President visits the East African nation to promote entrepreneurship, which he said in his speech earlier was a way of to "push back against corruption":
Dancers for Obama
The BBC's Wanyama wa Chebusiri has just snapped these dancers who are waiting to welcome Mr Obama at the site of the 1998 al-Qaeda bombing of the US embassy in Nairobi - an attack which left more than 200 people dead:
Can that tech start-up help me?
BBC Monitoring
Janet Onyango
A Twitter user wondered how the tech start-up Hello Tractor, whose founder shared a stage with President Obama at the Global Enterprise Summit earlier this morning, could help his farming business:
Obama meet-and-greet
Mr Obama has is now visiting the Power Africa Innovation Fair in Nairobi, where he met June Muli, the head of customer care at M-Kopa, which offers a "pay-as-you-go" solar energy service to homes:
Obama's 'game show'
Karen Allen
BBC News, Nairobi
It looked more like the start of a game show than the formal opening of an entrepreneurship summit, but it seemed fitting for an event - the first in Mr Obama's schedule - directed at promoting business among youth.
His programme will switch the focus to security later, when he holds bilateral talks with President Kenyatta.
The US is keen to deepen the ties on counter-terrorism efforts, in the face of continuing attacks by the Somalia-based militant Islamist group al-Shabab.
Obama's quotable quotes
Here are some of the best quotes from Mr Obama's speech:
'No breadcrumbs'
BBC Monitoring
Janet Onyango
A Kenyan reacts to President Obama's call for greater support for women entrepreneurs:
Kenyatta's quotable quotes
Here are some of the best quotes from Kenyan President Uhuru Kenyatta's speech at the Global Entrepreneurship Summit in Nairobi:
Obama's speech in four tweets:
The US embassy's summary of President Obama's appearance at the Entrepreneurship Summit in Nairobi:
'Fresh and futuristic'
BBC Monitoring
Janet Onyango
Kenyans on Twitter have been live tweeting quotes from President Obama's speech at the opening of the Global Entrepreneurship Summit. They have also been reacting to the brief panel discussion following the president's speech:
One Twitter user commented on President Obama's greeting in Sheng, a popular slang version of Kiswahili:
'Obama on top form'
BBC reporter tweets:
'Great expectations'
Mr Obama says Kenya has made "incredible progress" since his last visit, and said people should not be "blinded" by prejudice.
"When I was here in Nairobi ten years ago, it looked different from what it looks today. There's a lot of progress. I'm proud of all you," he said.
"We expect great things out of you," Mr Obama added, before stepping down from the stage.
'Young people need a chance'
BBC reporter tweets with more comments from the US president:
Presidents sit with entrepreneurs
BBC correspondent tweets
BBC correspondent tweets from the business conference in the Kenya capital, with President Obama and President Kenyatta on stage with young business people:
Obama on girls and young women
Mr Obama is speaking again, informally. He stresses that women should become more involved in efforts to boost economies.
"If half of the team is not playing you got a problem," he says.
'Bottlenecks'
Mr Kenyatta has spoken again briefly, saying "bottlenecks" - referring to red tape - needs to be removed to help the business sector.
Slang: 'How are you folks?'
The BBC's Anne Soy in Nairobi translates the Kenyan street language Sheng phrase President Obama used when he greeted the crowd at the entrepreneurship summit:
Niaje wasee? Hawayuni - "How are you folks?"
Click here to find out some more slang tips from Kenya
Obama in photos
Here are some images of Mr Obama at the summit:
Centres for women
BBC Africa reporter tweets about one of the initiatives that President Obama mentioned in his speech:
'I believe in you'
BBC reporter tweets:
Obama ends speech
President Obama finishes his speech, saying young entrepreneurs will now address the audience.
'Powerhouse'
" Women are powerhouse entrepreneurs," says Mr Obama - women drive growth, he adds. to a loud cheer
'Great Kenyan ideas'
BBC reporter tweets about the US president's speech:
'Lists innovations'
BBC reporter tweets
Kenya 'leads'
Africa needs to be a "future hub of global growth", Mr Obama says, adding Kenya is leading the way.
'The C word'
BBC reporter tweets
'Africa is on the move'
"Africa in on the move," says President Obama.
'Courage and guts'
BBC reporter tweets
'Speaks Sheng'
BBC Africa reporter tweets:
Removing barriers
"Entrepreneurship takes down barriers between communities and build bridges," says President Obama.
'Proud to be first US president in Kenya'
BBC reporter tweets
Obama's Swahili slang
BBC reporter tweets:
Obama on Kenyan spirit
Mr Obama is referring to his Kenyan roots, and the "warmth and spirit" of the nation.
Obama speaks
Mr Obama has started speaking.
Obama introduced
Mr Kenyatta is now introducing Mr Obama.
'Africa open for business'
"Africa is open and ready for business," says President Kenyatta.
'Hotbed of vibrant culture'
"Kenya is a hotbed of vibrant culture," says President Kenyatta
'Aligned to progress'
BBC reporter tweets about the Kenyan president's speech:
Huge crowd
BBC Africa reporter tweets
Kenyatta on terror attack
Mr Kenyatta has been speaking about the deadly attack by militant Islamist group al-Shabab on a shopping centre in Nairobi last year.
"We were able to rise above our pain," he says.
Showbiz
BBC correspondent tweets
Kenya's 'dynamism'
Karen Allen
BBC News, Nairobi
Today's business will focus on entrepreneurship and security.
President Obama has already praised what he called the "dynamism" of Kenya's business class and is expected to call for greater efforts to tackle corruption.
But it is security and Kenya's counter-terrorism efforts which are likely to dominate bi-lateral talks later in the day.
The importance of the relationship between the two countries is being underscored by a brief visit Mr Obama's expected to make to a memorial on the site of the 1998 US embassy attack in Nairobi.
Since the bombing, Kenya has found itself the focus of assaults by the Somalia-based Islamist group al-Shabab - among them the 2013 siege at the Westgate shopping centra and a bloody assault on a university in Garissa in April
Kenya 'neutral'
Kenya is neither aligned to East or West, Mr Kenyatta says.
'Welcome home'
Kenya's president has been introduced with a ululation to address the business summit in Nairobi. Uhuru Kenyatta said Kenyans were proud to "welcome home" Mr Obama, the "cradle of civilisation".
Obama arrives
Robert Kiptoo
BBC Africa, Kenya
Mr Obama has already arrived at the venue of the summit. He used a decoy convoy and no-one realised he had come.
Kenyatta at summit
Robert Kiptoo
BBC Africa, Kenya
Kenyan leader Uhuru Kenyatta has arrived at the UN headquarters in the capital, Nairobi, where US President Barack is due to address a business summit:
Obama arrives
BBC reporter tweets:
'Kenya here I am'
The newspapers today are also dominated by the visit, viewed by many Kenyans as a "homecoming".
Historic visit
US leader tweeted after his arrival:
Wise words
Today's African proverb: "Whenever lightning strikes, everyone runs to cover his or her own head" - The BBC's Wisdom of Africa book.
Good morning
Welcome to BBC Africa Live for our special coverage of US President Barack Obama's first visit to his ancestral home of Kenya since he took office in 2009. We will be bringing you up-to-date developments across the day.