A representative for Mick Jagger says "a small private gathering of family and close friends" attended the service at Hollywood Forever Funeral Home in Los Angeles.
It included blessings and prayers led by Reverend Ed Bacon of the All Saints Church in Pasadena, and words of tribute from Jagger, Scott's brother Randy Bambrough, and others.
Poems were read by Jagger's daughter, Karis, as well as the actress Ellen Barkin, a good friend of Scott's. Jagger's daughter Jade and his grandchildren, Mazie and Zak, read psalms.
"Will the Circle be Unbroken?" was sung by Bernard Fowler with Dave Stewart on guitar.
Scott committed suicide on March 17 in New York.