The news was confirmed shortly after 6pm today (April 7) by BBC News.
Police have said they were called to an address near Wrotham, Kent following a report of concern for the welfare of a woman on Monday afternoon. The 25-year-old woman was later pronounced dead by South East Coast Ambulance Service.
A statement from Kent Police reads: "At this stage, the death is being treated as an unexplained and sudden."
Mother to Astala Geldof–Cohen (aged one) and Phaedra Geldof-Cohen (11 months old), Geldof was married to former S.C.U.M. frontman Thomas Cohen.
A noted socialite, Geldof began her media career writing a column for Elle Girl magazine at 15. She later presented her own show on ITV2, "OMG! with Peaches Geldof."
Her father, Bob Geldof, said: "We are beyond pain. She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us.
"What a beautiful child. How is this possible that we will not see her again? How is that bearable?"
Channel 4 journalist Ed Fraser has quoted Geldof's husband, Thomas Cohen as saying he will bring up the couple's two children "with their mother in their hearts everyday." He commented:
Thomas Cohen: My beloved wife Peaches was adored by myself & her 2 sons and I shall bring them up with their mother in their hearts everyday- Ed Fraser (@frasereC4) April 7, 2014
@lilyallen My thoughts are with Peaches' family at this awful time. I hope they get to grieve in peace. Peaches, rest in peace gorgeous girl- Lily Allen (@lilyallen) April 7, 2014
Even if you think you've got it all figured out, some things still can't be explained or understood. Two beautiful children. RIP Peaches- Ellie Goulding (@elliegoulding) April 7, 2014
you were a sparkling, lovely person who showed me such kindness. rest easy, peaches- Lorde (@lordemusic) April 7, 2014
So so sad to learn of the death of Peaches Geldof - she was a beautiful person. My thoughts are with her family and friends- Tim Burgess (@Tim_Burgess) April 7, 2014
In shock. RIP Peaches. Heartfelt condolences to her family and loved ones.- Sky Ferreira (@skyferreira) April 7, 2014
Ooof horrible news. Poor thing. Poor all of them.- Tracey Thorn (@tracey_thorn) April 7, 2014
Such sad, sad news about Peaches Geldof. Can't imagine the pain her family must be going through x- Chlöe Howl (@ChloeHowl) April 7, 2014
R.I.P Peaches Geldof.- Lethal Bizzle (@LethalBizzle) April 7, 2014