He died Tuesday morning in a Los Angeles care facility, according to Howard Bragman, who heads LaBrea Media.
While on Carol Burnett, he created wildly popular characters including Mr. Tudball and The Oldest Man, and Conway also prided himself on trying to make his co-stars crack up during sketches.
Tributes also came from across the comedy world, including from Conan O'Brien, who said "no one made me laugh harder than Tim Conway" and Kathy Griffin, who called him "a wildly talented, comedy giant".
Actor Tim Conway and actress Carol Burnett in the audience at the 2005 TV Land Awards at Barker Hangar on March 13, 2005 in Santa Monica, California.
The newly self-christened Tim Conway soon got an even bigger break in 1962 with the role of the bumbling ensign on "McHale's".
His decade-spanning career lists various shows and movies, but his work with Burnett is perhaps the most memorable.
Conway died from water on the brain Tuesday in Los Angeles, his representative told Variety.More news: Palestinian Killed at Israel-Gaza Border During Weekly Demonstration
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In later years, the actor had success as the title character in the Dorf series of comedy films and provided the voice of Barnacle Boy in the animated series SpongeBob SquarePants.
Those qualities probably contributed to his wide popularity on "The Carol Burnett Show", which he joined in 1975 after years as a frequent guest.
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. Unfortunately, "The Tim Conway Show" and "The Tim Conway Comedy Hour" were both canceled after airing half a season each on CBS.
"His name is Tom Conway", Marie said.
"Rest in peace to the hilarious and kindhearted, Tim Conway".
The legendary comedian was married twice, first to Mary Anne Dalton from 1961 to 1978 and together they had six children.