Goulet made his Broadway debut in 1960 as Sir Lancelot in Lerner and Loewe's Camelot and played the role of King Arthur in the show's 1993 revival. His other Broadway gigs were as replacements, first in the 1995 comedy Moon Over Buffalo and then in 2005, when he took over the role of Georges in the revival of La Cage Aux Folles.
Goulet also starred on stage in national tours of South Pacific and Man of La Mancha, as well as productions of many other musicals. He also starred in television versions of Carousel, Kiss Me, Kate, and Brigadoon.
He is survived by his third wife, Vera, whom he married in 1982, and his children Nicolette, Christopher, and Michael. He was previously married to actress Carol Lawrence and to Louise Longmore.
The marquees of Broadway theaters, as well as those in cities across North America, will be dimmed in his memory on Wednesday, October 31, at 8 p.m. for one minute.