The private service was at Edgwarebury Cemetery in north London.
"Amy was the greatest daughter, family member and friend you could ever have," said her father, Mitch Winehouse, in a section of the eulogy released by a family spokesman.
The singer's family and friends were joined by band members and celebrities, including producer Mark Ronson and media personality Kelly Osbourne.
The Jewish service was led by a rabbi and included prayers in English and Hebrew.
It ended with a rendition of Carole King's "So Far Away," one of Winehouse's favorite songs.
Family friend Alfie Ezekiel, 55, said the service had been a "joyful" celebration of the singer's life.
"Mitch gave a very good eulogy and he managed to get through it very well, considering," he said.
The service was being followed by cremation at London's Golders Green Crematorium before the family begins Shiva, a Jewish traditional period of mourning.
The 27-year-old, who had battled alcohol and drug addiction over the years, was found dead inside her London home on Saturday.
An autopsy performed Monday failed to determine what killed the singer.
Winehouse released only two albums in her short career - winning five Grammy awards for the second, "Back to Black."
The Associated Press contributed to this report.