The actor and director, who had colon cancer, died Tuesday at the age of 74, the Los Angeles Times reported Wednesday.
"Ozzie and Harriet" began airing on the radio in 1944. David and his younger brother Rick joined the show in 1949 and the family brought the series to TV in 1952 where it ran for 14 years.
David Nelson directed about a dozen episodes of the show in the early 1960s and later went on to helm commercials and occasional TV series episodes and movies, the Times said. He also had acting roles in the movies "Peyton Place," "The Remarkable Mr. Pennypacker," "The Big Circus," "Day of the Outlaw," "30," "The Big Show" and "Cry-Baby."
His father Ozzie died of liver cancer in 1975, brother Rick was killed in a plane crash in 1985 and mother Harriet died of congestive heart failure in 1994, the newspaper noted.
David Nelson is survived by his wife Yvonne, four sons and a daughter.