In a statement posted on her website, singer Sinead O'Connor paid tribute to Ms Geldof and Sean Fogerty, whose body was found at the weekend after he went missing last month.
She said: "I'd like to extend my deepest sympathies to the Fogarty family and the Geldof family on the dreadful losses of Sean and of Peaches this week. I'm so, so sad that these deaths have happened and that people I love so much have been given such awful pain."
A collection of pictures charting Peaches' life from its beginning as the daughter of famous parents Bob Geldof and Paula Yates:
The troubled life of Peaches Geldof included losing her own mother when she was just 11 years old, when Paula Yates died of a drug overdose.