The Los Angeles Times reported he died late Sunday or early Monday. The cause of his death was not disclosed.
Born in Belgium, Grosbard left Antwerp with his family when he was 12 and lived in Cuba for six years before emigrating to the United States in 1946.
The University of Chicago graduate and Korean War veteran began his entertainment career as an assistant director, working with Elia Kazan on "Splendor in the Grass," Sidney Lumet on "The Pawnbroker" and Arthur Penn on "The Miracle Worker," the Times noted.
He was later nominated for Tony Awards for helming the Broadway productions of "The Subject Was Roses" in 1965 and "American Buffalo" in 1977. Other directing credits included "A View From the Bridge," "The Price," "The Floating Light Bulb" and "The Wake of Jamey Foster."
His film credits include "True Confessions," "Georgia," "Falling in Love" and "The Deep End of the Ocean."
He is survived by his wife, actress Rose Gregorio, whom he married in 1965.