"We are beyond pain," said her father, confirming her death. "She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us."
Police, who were called to an address in Kent, say the death is currently being treated as "unexplained and sudden".
TV presenter Yates died of an accidental drug overdose in 2000, Peaches was 11 when her own mother died.
In 2012 she said she had not been able to come to terms with her mother's death for several years.
Yates's death came after she split with Bob Geldof and formed a relationship with INXS frontman Michael Hutchence (Noel always hated him... well he hates everybody), who then died in 1997.