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.
More top news
Multiple explosions in a park in a Japanese city have left at least one person dead and three injured.
A man said to be armed with dangerous articles remains inside an address in west London.
Time Warner owns the Warner Bros movie studio, responsible for franchises such as Harry Potter and Batman.