A decorated coffin carried her remains to the private service in the same church where the funeral of her mother Paula Yates was held.
Sir Bob Geldof led tributes to his daughter, who died aged 25, at St Mary Magdalene and St Lawrence church in the village of Davington, near Faversham in Kent.
Mourners included Sarah Ferguson, supermodel Kate Moss, Four Weddings and a Funeral screenwriter Richard Curtis, musician and television personality Jools Holland, former Rolling Stones bassist Bill Wyman, former record label owner and musician Alan McGee and BBC Radio 1 Breakfast Show presenter Nick Grimshaw.
Peaches' coffin was painted sky blue, with clouds and flowers along the side and a picture of her family and pets at the back.
Dozens of locals gathered outside the church, which is where Peaches married musician Tom Cohen, the father of her children, in 2012. It is also where television presenter Yates married Geldof in 1986.
There were bouquets and cards left outside the entrance to Davington Priory, Sir Bob's country estate.
Written in chalk on the church's wall, a message read "RIP Peaches".