Graves was found dead in his home on Sunday, and he died of natural causes, police sources told the newspaper.
Graves made appearances in several movies, including Stalag 17 and The Night of the Hunter, before landing the lead in CBS' Mission: Impossible. From 1967 to 1973, Graves played the iconic role of James Phelps, and he later reprised his role for the revival in the late '80s. His work during the show's initial run earned him an Emmy nomination and a Golden Globe win.
Graves turned to comedy in the cult classic film Airplane in 1980, starring opposite Leslie Nielson, Robert Stack and Lloyd Bridges. He also appeared in Airplane II: The Sequel once again as Captain Clarence Oveur.
Graves is survived by his wife, Joan Endress, three daughters and six grandchildren.