Police say they were called to an address near Wrotham, Kent, following a report of concern for the welfare of a woman on Monday afternoon.
Peaches Geldog was later pronounced dead by South East Coast Ambulance Service.
“At this stage, the death is being treated as unexplained and sudden,” said a statement from Kent Police.
Born in 1989, Peaches Honeyblossom Geldof embarked on a media career at the age of 15, when she began writing a column for Elle magazine.
She left home at 16 and went on to contribute to the Telegraph and the Guardian, as well as TV shows including ITV2’s OMG! with Peaches Geldof.
Peaches Geldof also worked as a model and, just last week, attended a launch for Tesco’s F&F clothing range in London.
The writer and presenter was married to musician Thomas Cohen, with whom she had two sons, Astala, one, and Phaedra, who will turn one on April 24.
Peaches Geldof lost her own mother when she was just 11 years old. Paula Yates died of a drug overdose in September 2000.
Speaking to Elle magazine in 2012, Peaches Geldof said she had not come to terms with Paula
Peaches Geldof said she had experimented with drugs as a teenager, but was “never that wild”.
She was previously married to rock musician Max Drummey but the pair separated in 2009 after a six-month marriage.
Her last tweet, posted on Sunday was a picture of her as a baby in her mother’s arms.
Peaches Geldof leaves her husband and sons; father Bob Geldof; sisters Fifi Trixibelle and Pixie; and younger half-sister, Tiger Lily Hutchence Geldof.
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