Publicist Howard Bragman said Conway died in the Los Angeles area on Tuesday morning. He was not suffering from dementia or Alzheimer's disease, Bragman said.
"The Carol Burnett Show" aired on CBS from 1967-1978. He played Ensign Charles Parker on McHale's Navy for that show's four-season run and led his own eponymous series before guest-starring with Burnett's troupe in 1975 and eventually joining the show as a series regular.
Conway's later work included voicing a character on SpongeBob SquarePants and the show paid tribute to its Barnacle Boy. Conway also won Emmys for Coach in 1996 and for 30 Rock in 2008. His improvised antics often reduced his co-stars - especially his close friend Korman - to tears of laughter. "And Dave did, and then he'd say, 'OK, '" Burnett said. His memoir is titled, "What's So Funny?" Conan O'Brien said "no one made me laugh harder" growing up than Conway, whom he called a "sweets and effortlessly amusing man".
"They used to do 33 shows a year on Burnett", he told the L.A. Times. He starred in live-action Disney movies, including The Apple Dumpling Gang with Don Knotts and The Shaggy D.A.
Conway, who was born on December 15, 1933, grew up near Cleveland and after serving in the Army worked in Cleveland radio and developed comedy routines.