Publicist Howard Bragman said Conway died in the Los Angeles area on Tuesday morning.
According to People, before his death, "he suffered complications from Normal Pressure Hydrocephalus (NPH) and had no signs of dementia or Alzheimer's". The show aired on CBS from 1967 to 1978 and had a short summer stint on ABC in 1979.
He was nominated for 13 Emmys and won six during the course of his career including four for his work on "The Carol Burnett Show", and two more for guest appearances on "Coach" and "30 Rock".
Following the Allen show, Conway gained attention as the incompetent Ensign Charles Parker on the Ernest Borgnine sitcom "McHale's Navy" from 1962-66.
Nevertheless, Burnett considered him a master of comedy. "And Dave did, and then he'd say, 'OK, '" Burnett said.
"It is with the greatest sorrow that my brothers, Tim, Patrick, Jamie, Corey, Seann, and I announce that our Dad, Tim Conway has passed away", the statement reads. Korman was a close friend of Conway's who often broke into laughs during Conway's performances.
"I think Conway's goal in life was to destroy Harvey", Burnett told the Television Academy Foundation.
Conway married Dalton, with whom he shares six children, in 1961, but they divorced in 1978. His most-beloved Burnett show characters were the Oldest Man and Mr. Tudball. His memoir is titled, "What's So Funny?" But if you remove the oil crisis and the fallout from the Vietnam war and the rise of serial killers, there's a version of the '70s embodied in the clip above that I just want to live in.
He was a staple of TV variety programs and comedy shows for roughly half a century.
Korman died in 2008.
Conway also had a modest but steady movie career, appearing in such films as "The Apple Dumpling Gang" (1975), "The Shaggy D.A".
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Conway was born on December 15, 1933, just outside of Cleveland, Ohio, in nearby Willoughby, Illinois.
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