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.
The woman, aged 25, 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.
She 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 24 April.