The Saturday service was private, but a long list of celebrities were in attendance, including Susan Sarandon, Dan Aykroyd, Chevy Chase and Edward James Olmos, tennis great John McEnroe and musician Paul Shaffer.
After the funeral, Mary Richardson Kennedy was buried at a cemetery in Centerville, Mass., several miles away from the Kennedy seaside compound in Hyannisport. Her estranged husband, Robert F. Kennedy Jr., delivered the eulogy.
Mary Richardson Kennedy, 52, was found dead of an apparent suicide Wednesday at the family's estate in Bedford. Her death followed a difficult two years, during which her husband filed for divorce and she was charged twice with driving while intoxicated. The divorce was never finalized.
According to the Westchester County Medical Examiner's Office, the cause of death was asphyxiation due to hanging.
The Associated Press contributed to this report.