“Police were called at 13:35 BST on 7 April, 2014 to an address near Wrotham following a report of concern for the welfare of a woman,” Kent Police said in a statement.
“At this stage, the death is being treated as an unexplained sudden death. Officers are working to establish the circumstances around the death.”
In a statement released by his agent, her father Bob Geldof, 62, said: “Peaches has died. We are beyond pain. She was the wildest, funniest, cleverest, wittiest and 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? We loved her and will cherish her forever. How sad that sentence is.”
Mother of two young boys, Astala, 2 this month, and Phaedra, 1 this month, she was married to musician Thomas Cohen.
“My beloved wife Peaches was adored by myself and her two sons,” her husband said in a statement. “I shall bring them up with their mother in their hearts everyday. We shall love her forever.”
Her last message on Instagram, posted on Sunday, showed a picture of her in the arms of her mother, Paula Yates, who died of an overdose when she was 11.
Born in 1989, Peaches Geldof became a media star at the age of 15 when she started working as an editor for the British version of the magazine Elle.
She left home at 16 and continued her career as a journalist for The Telegraph and The Guardian.