The 25-year-old mum of two young sons was found dead yesterday afternoon - just a few hours after she posted a picture of herself with her late mother Paula Yates on Instagram.
Her body was found at home in Wrotham, Kent, at 1.35pm. Kent Police said: "The death is being treated as a non-suspicious, but unexplained, sudden death.
The local coroner has been informed and a post-mortem is expected to be carried out in the next few days."
According to The Sun,
According to The Sun,the coroner is investigating the possibility that the model and writer died of natural causes.
Yesterday, Peaches' heartbroken dad Bob Geldof led the tributes to his daughter.
In a statement, the 62-year-old said: "Peaches has died. We are beyond pain. 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?
"We loved her and will cherish her forever. How sad that sentence is.
"Tom and her sons Astala and Phaedra will always belong in our family, fractured so often, but never broken. Bob, Jeanne, Fifi, Pixie and Tiger Geldof."
Her husband Thomas Cohen is looking after the couple's sons, who will be two and one at the end of this month.
He said: "My beloved wife Peaches was adored by myself and her two sons Astala and Phaedra and I shall bring them up with their mother in their hearts everyday. We shall love her forever. Thomas, Astala and Phaedra Geldof-Cohen."
Peaches often spoke of how she struggled to come to terms with her own mother's death from a heroin overdose in 2000.
Her last tweet was at 10.17am yesterday (Monday 7 April) with a photograph of her and her late mother.
Peaches went through a period of heavy drinking and drug taking as a teenager, but said the memory of her own mother's overdose stopped her from spiralling out of control.
She admitted: "I did experiment with drugs, I did get drunk and go to parties, but I was never that wild. I could have been, I could have let myself spiral but all the time I remembered what happened to my mum."