Nelson, best known for starring on his parents' TV hit The Adventures of Ozzie and Harriet, passed away on Monday (10Jan11) at his home in Los Angeles.
He was the last surviving member of the real-life TV family, whose U.S. sitcom ran on the small screen from 1952 to 1966.
Nelson attended the University of Southern California before convincing his parents to allow him to act on the show, along with his teen idol brother Ricky.
He received a star on the Hollywood Walk of Fame, and racked up a number of TV and film credits, including roles in Peyton Place, The Big Circus and Love and Kisses.
The actor is survived by his wife, Yvonne, four sons and a daughter, according to the Associated Press. A memorial service will be held in Los Angeles' Pierce Brothers Westwood Mortuary on Thursday (13Jan11).