There was no immediate word on the cause of her death at her home in Wrotham, Kent, southeast England but police called it "unexplained and sudden."
The news came as a shock to Britain's entertainment and fashion circles, where Peaches had been active as a model, television presenter and fashion writer. She was a frequent attendee at fashion shows and was photographed just last week at a London show for the Tesco brand F&F.
The last tweet Peaches sent on Twitter came yesterday, when she posted a photograph of herself as a toddler with her mother and the caption: "Me and my mum."
Her father and family issued an anguished statement Monday about her death.
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"Peaches has died. We are beyond pain. She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us," Geldof said. "Writing 'was' destroys me afresh. What a beautiful child. How is this possible that we will not see her again? How is that bearable? We loved her and will cherish her forever."
Kent police declined to name Geldof, but when asked about her death they said in a statement that officers were called to a house near Wrotham following a report of concern for a woman's welfare today afternoon. They said the 25-year-old woman was pronounced dead by emergency officers and that the death was being treated as "unexplained and sudden."
In an interview with the Guardian in 2009, Peaches acknowledged that she used drugs before but said she had stopped.
"'Yeah, I've taken drugs. Yes, I have had experiences, and a few of those experiences were unsavory, not ones I want to repeat, but I was growing up. I wanted the experience," she told the paper.
Peaches was married twice and leaves behind two sons, 23-month-old Astala and Phaedra, 11 months.