The New York Times reports that he died on Tuesday (November 26) following complications from oral surgery.
Musante was best known for his role in ABC detective drama Toma, in which he played a starring role in 1973.
The actor appeared in several stage, TV and film roles including 1971 movie The Last Run alongside George C Scott and on the Broadway production 27 Wagons Full of Cotton with Meryl Streep in 1976.
In recent years, the Connecticut native played mafia boss Nino Schibetta on the HBO series Oz.
Mustante is survived by his wife Jane, two sisters, Cecelia Sisti and Katherine Walker, and brother Thomas.