Peaches Geldof, the daughter of Bob Geldof and the late Paula Yates, has died.
There were reports that police were called to her home near Wrotham, Kent, on Monday where her body was discovered.
In a statement police said they were called an address near Wrotham following a report of concern for the welfare of a woman. A woman aged 25 was pronounced dead by South East Coast Ambulance Service.
"At this stage, the death is being treated as an unexplained sudden death. Officers are working to establish the circumstances around the death," the statement said.
Peaches Geldof was a prolific tweeter and the final message that she sent on Sunday was a picture of her as a child with her mother. Paula Yates died of a drugs overdose in September 2000 when Peaches was 11 years old.
Live Aid founder Bob Geldof said his family was "beyond pain" at the death of his daughter.
In a statement he said : "She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us. Writing 'was' destroys me afresh. What a beautiful child.
"How is this possible that we will not see her again? How is that bearable?"
Peaches was the second daughter of Bob Geldof and Paula Yates. Their first was Fifi Trixibelle, and Peaches has a half-sister, named Heavenly Hiraani Tiger Lily, her mother's daughter with late INXS frontman Michael Hutchence, AFP reports.
Ms Geldof embarked on a media career at the age of 15, when she began writing a column for Elle magazine. She left home at sixteen and went on to contribute to the Telegraph and the Guardian.
Along with presenting TV shows including ITV2's OMG! with Peaches Geldof, she worked as a model and, just last week, attended a launch for Tesco's F&F clothing range in London.
She was married to musician Thomas Cohen, with whom she had two sons, Astala, one, and Phaedra, who will turn one on 24 April.
She married her first husband, rock musician Max Drummey, in 2008 but they separated the following year. Peaches wed Thomas Cohen two years ago in the same church in Kent where her parents were married and where her mother's funeral was held.