"It's intolerable," Geldof, 62, told ITV's Lorraine on Friday. "It's very hard as everybody must realize, especially if it happened to them too, and then what else do you do, you get on with it," he said.
"I'm walking down the road, and suddenly, out of the blue, there's an awareness of her and I buckle," Geldof added. "I have to duck off into a lane or something and blub for a while, and then get on with it. And that's it. So, I'd imagine that will be there for a long time. I mean, what else?"
Peaches, who is survived by her husband and two young children, worked as a journalist and media personality. She was thought to have overcome her party-girl past and lived quietly with her family in Kent.
She died of a "likely" overdose of heroin, an inquest confirmed in May, the same drug that killed her mother, Paula Yates.
"We are beyond pain," Bob said in a statement after Peaches' death. "What a beautiful child. How is it possible that we will not see her again?"