Swit's representative said she likely died of natural causes but a coroner's report is pending.
The M*A*S*H finale, which featured Swit's 'Hot Lips', made history as the most-watched episode of TV to date when it aired in '83, drawing a staggering 106 million viewers in the US.
She starred in Off Broadway productions throughout the '60s.
It was her portrayal of Margaret Houlihan in M*A*S*H, though, which brought her fame and made her a global star.
Swit was also nominated for four Golden Globes over the course of her career.
He wrote: "Loretta was a supremely talented actor. She deserved all her 10 Emmy nominations and her 2 wins. But more than acting her part, she created it.
"She worked hard in showing the writing staff how they could turn the character from a one joke sexist stereotype into a real person -- with real feelings and ambitions. We celebrated the day the script came out listing her character not as Hot Lips, but as Margaret. Loretta made the most of her time here."
Mike Farrell, who played Captain B.J. Hunnicutt in the hit sitcom, shared a picture of Swit on Instagram in tribute.
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