In Brixton, famous for the riots in 1981, around 100 people have celebrated Lady Thatcher's death. Police said there was "low level disorder". Two people were arrested on suspicion of burglary. Six officers were hurt in Bristol after a street party.
Tony Blair said the celebrations of Baroness Thatcher's death were in "poor taste".
Speaking to BBC Radio Ulster, he said: "Even if you disagree with someone very strongly, you can still particularly at the moment of their passing, you should show some respect."
Mr Blair was asked if he worried there would be similar celebrations when he dies.
He replied: "When you decide, you divide. I think she would be pretty philosophical about it and I hope I will be too."
Read: Margaret Thatcher's legacy.
Read: Thatcher funeral next Weds.
The Democratic presidential candidate may also have shown his cards on his choice of running mate.
The US president also shared a post on Twitter accusing Dr Anthony Fauci of misleading the public over hydroxychloroquine.
Fears over an impending second wave of coronavirus dominates Wednesday’s front pages.