Geldof was a TV presenter and British scenester whose notoriety peaked in 2010 with an alleged heroin-fueled one-night stand at a Scientology compound. She later admitted to posing for nude pictures taken that night, but denied the allegations of heroin use and Scientology.
Geldof's mother, Paula Yates, died of a heroin overdose in 2000, when Peaches was just 11. Peaches' last tweet, on Sunday, was this photo with her mom.
Geldof once said she had experimented with drugs as a teenager, but that she was "never that wild."
She had two sons, Astala, almost 2, and Phaedra, 11 months, with husband Thomas Cohen, lead singer of the band S.C.U.M.
"I shall bring them up with their mother in their hearts everyday," Cohen said in a staement.
"We are beyond pain," said Bob Geldof, who confirmed his daughter's death. "She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us."
"What a beautiful child. How is this possible that we will not see her again? How is that bearable?"
Update: Reports Tuesday morning claim police found "no evidence of hard drugs, no visible signs of injury and no suicide note" at Geldof's Kent home. The coroner is considering the possibility she died of natural causes.
[Photo: Getty Images]