Longtime friend Wayne Newton says Goulet's sense of humor kept his spirits up "in some of the lowest valleys" in his life.
Pianist Roger Williams said that Goulet "could shake a room with that big beautiful voice."
Goulet died while awaiting a lung transplant. He had been diagnosed with a rare form of pulmonary fibrosis.
The Massachusetts-born Goulet, who spent much of his youth in Canada, gained stardom in 1960 with his Broadway debut in "Camelot."
Besides his third wife Vera, Goulet was survived by his daughter, two sons and two grandchildren. Plans for his memorial service are pending.