Tucci made her Broadway debut in 1963, in The Milk Train Doesn't Stop Here Anymore. She has fourteen Broadway credits.

Principal roles include Rose Delle Rose opposite Maureen Stapleton in the 1966 production of The Rose Tattoo by Tennessee Williams. In 1967, she starred as Alexandra Giddens in a revival of The Little Foxes by Lillian Hellman, with Anne Bancroft as her mother. In 1969, she was a replacement for Jane Alexander in The Great White Hope.