The president and vice-president will address the nation this evening from the Cross Hall of the White House, the grand chandeliered main entrance to the building that features official portraits of Presidents Bill Clinton and George W Bush.
The room is perhaps best known for Barack Obama’s announcement of the killing of Osama Bin Laden in 2011.
Perhaps the Biden administration wants to give this day equal historic significance.
BBCCopyright: BBC
Barack Obama: Jury 'did right thing'
Getty ImagesCopyright: Getty Images
Former President Barack Obama and former First Lady Michelle Obama have released a statement following the verdict.
"Today, a jury in Minneapolis did the right thing," they wrote, calling the verdict a "necessary step on the road to progress".
But it's "not sufficient", they wrote.
"True justice requires that we come to terms with the fact that Black Americans are treated differently, every day."
The couple is holding the Floyd family in their prayers, they said, "in the hopes that they may find peace".
Minneapolis police: 'Stop the race-baiting'
Minneapolis' police federation, a not-for-profit organisation representing police - thanked the jury for their "dedicated work" shouldering "an enormous burden".
"We also want to reach out to the community and still express our deep remorse for their pain, as we feel it every day as well. There are no winners in this case and we respect the jury’s decision.
"We need the political pandering to stop and the race-baiting of elected officials to stop.
"In addition, we need to stop the divisive comments and we all need to do better to create a Minneapolis we all love."
The group added that the police federation stands with the people - not against them.
When will Chauvin be sentenced?
ReutersCopyright: Reuters
Now that he's been convicted, Derek Chauvin faces sentencing, which is expected in eight weeks.
As Chauvin has no prior convictions, Minnesota guidelines suggest he will probably be sentenced to just over 12 years in prison.
But prosecutors could argue for a longer sentence - up to 40 years - if presiding Judge Peter Cahill determines there are "aggravating factors".
In Minnesota, inmates are generally allowed to leave prison on supervised release after serving two-thirds of their sentences.
Nancy Pelosi thanks Floyd for his 'sacrifice'
House Speaker Nancy Pelosi has weighed in, thanking George Floyd for "sacrificing your life for justice".
"Because of you and because of thousands, millions of people around the world who came out for justice, your name will always be synonymous for justice," the top Democrat said at a press conference.
Pelosi's remarks were quickly criticised on Twitter and described as tone deaf.
"Listening to Nancy Pelosi, you'd think George Floyd voluntarily died..." wrote one user.
"Nancy Pelosi's take is awful and tone deaf," said writer Randi Singer on Twitter. "George Floyd didn't 'sacrifice' his life. He was not a solider who died in battle. He was an American citizen murdered by a cop."
Minnesota governor: 'Important step forward for justice'
When Derek Chauvin knelt on the neck of George Floyd last May, Minnesota's governor Tim Walz ordered lawmakers to convene special sessions on police reform and later signed reforms into law.
On Tuesday, it was Walz again - only two years into his term - calling in the National Guard in anticipation of potential rioting after the Chauvin verdict.
In a statement posted to social media, the Democrat wrote: "Today's verdict is an important step forward for justice in Minnesota. The trial is over, but our work has only begun."
Arguing that "true justice" can only come through systemic reforms, Walz said "accountability in the courtroom is only the first step".
"Let us continue on this march towards justice," he concluded.
We reported earlier that President Joe Biden had spoken with George Floyd's family on Monday evening, and heard today that the president was "praying for the right verdict".
Now, attorney Ben Crump has confirmed the president called the Floyd family right after the verdict.
Crump shared the exchange in a video posted to Twitter.
We've also just heard from the White House that both Biden and Vice-President Kamala Harris will deliver remarks on the verdict later this evening.
Minnesota Attorney General Keith EllisonImage caption: Minnesota Attorney General Keith Ellison
Minnesota's top law enforcement officer Keith Ellison led the case on behalf of the state.
Speaking now at a news conference, Attorney General Ellison says: "I would not call today's verdict justice because justice implies restoration. But it is accountability, which is the first step towards justice."
He said his team of prosecutors had "pursued justice wherever it led" with the intent to convict Derek Chauvin "to the fullest extent, as the law allowed".
Ellison expresses his gratitude to the family of George Floyd for showing dignity, even though they "had to relive again and again the worst day of their lives".
"This verdict reminds us how hard it is to make enduring change," he says. "We must make enduring systemic societal change."
'Guilty, guilty, guilty!'
"Say his name!" an activist calls out to the crowd in front of the court.
"George Floyd!"
Watch their reactions below.
Video content
Video caption: George Floyd: Minneapolis crowd reacts to Derek Chauvin guilty verdictsGeorge Floyd: Minneapolis crowd reacts to Derek Chauvin guilty verdicts
Black Lives Matter: Verdict is proof of 'broken system'
Getty ImagesCopyright: Getty Images
George Floyd's death in May 2020 sparked worldwide protests against racial injustice led by the Black Lives Matter group.
After the verdict, the organisation responded on Twitter, writing that it had taken "330 days to confirm what we already knew, 330 days of reliving the trauma of George's murder, fearing that the system would let us down again".
"This isn’t proof the system works. It’s proof of how broken it is. Because it took us this long, and this much attention," Black Lives Matter wrote.
The scene as verdict was announced
They weren't inside to hear the announcement first-hand - but as the judge confirmed a guilty verdict on all three counts, word spread quickly through the protesters waiting outside.
As the verdict was read out, people outside erupted in cheers and applause so loud they were heard within the court.
ReutersCopyright: Reuters
ReutersCopyright: Reuters
ReutersCopyright: Reuters
'Justice has been served'
Samantha Granville
BBC News, Minneapolis
BBCCopyright: BBC
Whitney Lewis has three young kids.
She came out today to show her kids that they can work for equality.
She told me justice had been served for one man, but there's still work to be done.
She says today gives her hope for her kids. Today means everything to her.
Floyd family attorney: 'Painfully earned justice'
Civil rights attorney Ben Crump, who represents the family of George Floyd, called the verdict "painfully earned justice" for both the family and their community.
"Justice for Black America is justice for all of America," reads a statement from Crump.
Hailing it as "a turning point" for holding law enforcement officers accountable, Crump reminded everyone that three more officers face trial for Floyd's death.
Crump secured a historic $27m (£19.4m) payout for the Floyd family from the city of Minneapolis in March.
The few reporters who were inside the court have shared what it was like as the jury delivered their verdict.
Just before the jurors filed in, Chauvin and his defence attorney Eric Nelson walked briskly to their table.
Philonise Floyd, George Floyd's brother, was sitting with his head bowed and hands in front of his face - perhaps in prayer.
All was near-silent until the jury was ready to enter.
When the jurors entered, all wore serious expressions.
After Judge Cahill read the verdict aloud, he asked each juror if it was their own decision. All said "yes". The judge thanked them for serving and they were dismissed.
Chauvin stood. Wearing a mask, his expression remained as inscrutable as it was throughout the trial. He offered no resistance as a deputy handcuffed him and led him from the room.
As the ex-officer left, Floyd's brother Philonise was seen hugging the prosecutors.
Watch: The moment the court heard the verdict
Video content
Video caption: George Floyd: Jury returns guilty verdicts in Derek Chauvin trialGeorge Floyd: Jury returns guilty verdicts in Derek Chauvin trial
Historic verdict for Minnesota
This is the first time a white police officer has been found legally responsible for the death of a black man in custody in Minnesota's history, according to the American Civil Liberties Union.
Minnesota is no exception. Throughout the US, police officers are rarely convicted or charged over deaths in custody.
'A blessing'
Tara McKelvey
BBC News, Minneapolis
People are screaming and cheering and a little girl in a pink coat holds up a tiny fist, in jubilation.
"Turn the music up," someone shouts.
"It’s a good day in Minneapolis," Kenneth Nwachi, 21, a debt collector, tells me. "It’s a blessing."
BBCCopyright: BBC
Kenneth NwachiImage caption: Kenneth Nwachi
Watch our live coverage above
We'll be sharing updates on the verdict - and the reaction - right here, but you can also follow our live TV coverage by clicking the button above.
Our correspondents are outside the court and with activists in downtown Minneapolis.
The BBC's Larry Madowo is at the scene where George Floyd died.
We'll also be sharing more insights from legal experts speaking with our presenters as the situation unfolds.
Chauvin taken into custody
Following a recommendation from prosecutors, Judge Cahill has revoked Chauvin's bail.
He will remain in jail until he is sentenced.
Chauvin was led from the court in handcuffs.
Cheers of celebration outside court
As Judge Cahill leads the jurors through their final duties, we see footage of the public outside court celebrating and cheering the guilty verdict.
Inside, Derek Chauvin's face remains almost expressionless beneath his mask.
ReutersCopyright: Reuters
Derek Chauvin (centre) watches as the jurors exitImage caption: Derek Chauvin (centre) watches as the jurors exit
Live Reporting
All times stated are UK
A presidential address from a historic hall
Anthony Zurcher
BBC North America reporter
The president and vice-president will address the nation this evening from the Cross Hall of the White House, the grand chandeliered main entrance to the building that features official portraits of Presidents Bill Clinton and George W Bush.
The room is perhaps best known for Barack Obama’s announcement of the killing of Osama Bin Laden in 2011.
Perhaps the Biden administration wants to give this day equal historic significance.
Barack Obama: Jury 'did right thing'
Former President Barack Obama and former First Lady Michelle Obama have released a statement following the verdict.
"Today, a jury in Minneapolis did the right thing," they wrote, calling the verdict a "necessary step on the road to progress".
But it's "not sufficient", they wrote.
"True justice requires that we come to terms with the fact that Black Americans are treated differently, every day."
The couple is holding the Floyd family in their prayers, they said, "in the hopes that they may find peace".
Minneapolis police: 'Stop the race-baiting'
Minneapolis' police federation, a not-for-profit organisation representing police - thanked the jury for their "dedicated work" shouldering "an enormous burden".
"We also want to reach out to the community and still express our deep remorse for their pain, as we feel it every day as well. There are no winners in this case and we respect the jury’s decision.
"We need the political pandering to stop and the race-baiting of elected officials to stop.
"In addition, we need to stop the divisive comments and we all need to do better to create a Minneapolis we all love."
The group added that the police federation stands with the people - not against them.
When will Chauvin be sentenced?
Now that he's been convicted, Derek Chauvin faces sentencing, which is expected in eight weeks.
As Chauvin has no prior convictions, Minnesota guidelines suggest he will probably be sentenced to just over 12 years in prison.
But prosecutors could argue for a longer sentence - up to 40 years - if presiding Judge Peter Cahill determines there are "aggravating factors".
In Minnesota, inmates are generally allowed to leave prison on supervised release after serving two-thirds of their sentences.
Nancy Pelosi thanks Floyd for his 'sacrifice'
House Speaker Nancy Pelosi has weighed in, thanking George Floyd for "sacrificing your life for justice".
"Because of you and because of thousands, millions of people around the world who came out for justice, your name will always be synonymous for justice," the top Democrat said at a press conference.
Pelosi's remarks were quickly criticised on Twitter and described as tone deaf.
"Listening to Nancy Pelosi, you'd think George Floyd voluntarily died..." wrote one user.
"Nancy Pelosi's take is awful and tone deaf," said writer Randi Singer on Twitter. "George Floyd didn't 'sacrifice' his life. He was not a solider who died in battle. He was an American citizen murdered by a cop."
Here's a video of Pelosi's remarks:
Minnesota governor: 'Important step forward for justice'
When Derek Chauvin knelt on the neck of George Floyd last May, Minnesota's governor Tim Walz ordered lawmakers to convene special sessions on police reform and later signed reforms into law.
On Tuesday, it was Walz again - only two years into his term - calling in the National Guard in anticipation of potential rioting after the Chauvin verdict.
In a statement posted to social media, the Democrat wrote: "Today's verdict is an important step forward for justice in Minnesota. The trial is over, but our work has only begun."
Arguing that "true justice" can only come through systemic reforms, Walz said "accountability in the courtroom is only the first step".
"Let us continue on this march towards justice," he concluded.
Biden calls family
We reported earlier that President Joe Biden had spoken with George Floyd's family on Monday evening, and heard today that the president was "praying for the right verdict".
Now, attorney Ben Crump has confirmed the president called the Floyd family right after the verdict.
Crump shared the exchange in a video posted to Twitter.
We've also just heard from the White House that both Biden and Vice-President Kamala Harris will deliver remarks on the verdict later this evening.
'Verdict is not justice, but is accountability'
Minnesota's top law enforcement officer Keith Ellison led the case on behalf of the state.
Speaking now at a news conference, Attorney General Ellison says: "I would not call today's verdict justice because justice implies restoration. But it is accountability, which is the first step towards justice."
He said his team of prosecutors had "pursued justice wherever it led" with the intent to convict Derek Chauvin "to the fullest extent, as the law allowed".
Ellison expresses his gratitude to the family of George Floyd for showing dignity, even though they "had to relive again and again the worst day of their lives".
"This verdict reminds us how hard it is to make enduring change," he says. "We must make enduring systemic societal change."
'Guilty, guilty, guilty!'
"Say his name!" an activist calls out to the crowd in front of the court.
"George Floyd!"
Watch their reactions below.
Video content
Black Lives Matter: Verdict is proof of 'broken system'
George Floyd's death in May 2020 sparked worldwide protests against racial injustice led by the Black Lives Matter group.
After the verdict, the organisation responded on Twitter, writing that it had taken "330 days to confirm what we already knew, 330 days of reliving the trauma of George's murder, fearing that the system would let us down again".
"This isn’t proof the system works. It’s proof of how broken it is. Because it took us this long, and this much attention," Black Lives Matter wrote.
The scene as verdict was announced
They weren't inside to hear the announcement first-hand - but as the judge confirmed a guilty verdict on all three counts, word spread quickly through the protesters waiting outside.
As the verdict was read out, people outside erupted in cheers and applause so loud they were heard within the court.
'Justice has been served'
Samantha Granville
BBC News, Minneapolis
Whitney Lewis has three young kids.
She came out today to show her kids that they can work for equality.
She told me justice had been served for one man, but there's still work to be done.
She says today gives her hope for her kids. Today means everything to her.
Floyd family attorney: 'Painfully earned justice'
Civil rights attorney Ben Crump, who represents the family of George Floyd, called the verdict "painfully earned justice" for both the family and their community.
"Justice for Black America is justice for all of America," reads a statement from Crump.
Hailing it as "a turning point" for holding law enforcement officers accountable, Crump reminded everyone that three more officers face trial for Floyd's death.
Crump secured a historic $27m (£19.4m) payout for the Floyd family from the city of Minneapolis in March.
Inside the court
The few reporters who were inside the court have shared what it was like as the jury delivered their verdict.
Just before the jurors filed in, Chauvin and his defence attorney Eric Nelson walked briskly to their table.
Philonise Floyd, George Floyd's brother, was sitting with his head bowed and hands in front of his face - perhaps in prayer.
All was near-silent until the jury was ready to enter.
When the jurors entered, all wore serious expressions.
After Judge Cahill read the verdict aloud, he asked each juror if it was their own decision. All said "yes". The judge thanked them for serving and they were dismissed.
Chauvin stood. Wearing a mask, his expression remained as inscrutable as it was throughout the trial. He offered no resistance as a deputy handcuffed him and led him from the room.
As the ex-officer left, Floyd's brother Philonise was seen hugging the prosecutors.
Watch: The moment the court heard the verdict
Video content
Historic verdict for Minnesota
This is the first time a white police officer has been found legally responsible for the death of a black man in custody in Minnesota's history, according to the American Civil Liberties Union.
Minnesota is no exception. Throughout the US, police officers are rarely convicted or charged over deaths in custody.
'A blessing'
Tara McKelvey
BBC News, Minneapolis
People are screaming and cheering and a little girl in a pink coat holds up a tiny fist, in jubilation.
"Turn the music up," someone shouts.
"It’s a good day in Minneapolis," Kenneth Nwachi, 21, a debt collector, tells me. "It’s a blessing."
Watch our live coverage above
We'll be sharing updates on the verdict - and the reaction - right here, but you can also follow our live TV coverage by clicking the button above.
Our correspondents are outside the court and with activists in downtown Minneapolis.
The BBC's Larry Madowo is at the scene where George Floyd died.
We'll also be sharing more insights from legal experts speaking with our presenters as the situation unfolds.
Chauvin taken into custody
Following a recommendation from prosecutors, Judge Cahill has revoked Chauvin's bail.
He will remain in jail until he is sentenced.
Chauvin was led from the court in handcuffs.
Cheers of celebration outside court
As Judge Cahill leads the jurors through their final duties, we see footage of the public outside court celebrating and cheering the guilty verdict.
Inside, Derek Chauvin's face remains almost expressionless beneath his mask.