"I'm heartbroken. He was one in a million, not only as a brilliant comedian but as a loving human being", Burnett said about Conway in a statement to CNN.
Conway's known for his role on The Carol Burnett Show that ran for over a decade from the late 60s to the late 70s.
Actor Tim Conway speaks onstage during the 17th Annual Screen Actors Guild Awards rehearsals held at The Shrine Auditorium on January 29, 2011 in Los Angeles, California. "He is at peace now but I will miss him every second of every day until we meet again in heaven".
A six-time Emmy Award victor, Conway died Tuesday at 8:45 a.m.in Los Angeles, according to The Hollywood Reporter. He also won guest actor Emmys for a 1996 appearance on "Coach" and another in 2008 for "30 Rock".
Burnett will dedicate a previously scheduled performance of her one-woman show, An Evening of Laughter and Reflection Where the Audience Asks Questions, to Conway's memory tonight in North Carolina.
Of his long-lived career in showbusiness, Conway once said, "I don't feature myself as being the head man".
Conway's later work included voicing a character on SpongeBob SquarePants and the show paid tribute to its Barnacle Boy. He starred in live-action Disney movies, including The Apple Dumpling Gang with Don Knotts and The Shaggy D.A.
The actor leaves behind his wife to whom he was married for 35 years, seven children (including a step-daughter), and two granddaughters.