The priest who presided over the service described Jones as a man who took himself lightly and considered neighbors friends.
"(He) conveyed to the world a blissful lightness of being," he said.
Jones died of a heart attack last week at the age of 66. The British-born singer quickly became a teen idol as a member of The Monkees, with hit songs including "Daydream Believer" and "I'm a Believer."
A memorial service is scheduled for next week in his hometown of Manchester, England. Plans are still being discussed for a public memorial to be held either in Los Angeles or New York.