Among those who gathered to say their final goodbye to TV presenter Peaches were Kate Moss, Nick Grimshaw and Jo Wood.
The service was private, although well wishers and the media gathered outside the church to pay their respects to 25-year-old Peaches.
The mum-of-two was found dead at her home in Wrotham on April 7. The post-mortem examination following her death proved inconclusive.
The church in which the service was held today is the place Peaches’ mother Paula Yates’ funeral took place in 2000, as well her parents marriage 26 years ago, and her own to Thomas Cohen in 2012.
Her father Sir Bob Geldof lead the tributes at the service, which was also attended by stars including Annie Lennox and Bono.
Peaches’ coffin was blue, with a painted portrait of herself, Thomas and their two sons, 23-month-old Astala and Phaedra, 11 months.
According to reports, the service was a cremation and Peaches’ ashes are expected to be scattered in the gardens of her father’s home nearby the church.
Speaking shortly after Peaches’ death, Bob gave a statement in which he said: “We are beyond pain. She was the wildest, funniest, cleverest, wittiest and the most bonkers of us all.”