The actress and writer passed away from natural causes at her home in Stamford on Sunday, her publicist Shirley Herz has confirmed.
Havoc was the younger sister of Louise, aka stripper Gypsy Rose Lee, whose memoir served as the basis for the original stage show, about a child forced into the entertainment industry from the age of 18 months.
Havoc was married three times and had a daughter, April Hyde Kent, with her first husband, who she married at the age of 13 after meeting on the vaudeville circuit.
She went on to appear in more than 12 productions on Broadway, from Mexican Hayride and Sadie Thompson in 1944 to her final New York stage performance in an early 1980s version of Annie.
She also stared in 26 films including Gentleman's Agreement and My Sister Eileen.