[1] Moses was born in Cleveland, Ohio, and began acting as a child at Karamu House.
[2] Moses was the co-founder of the Free Southern Theater company, an important pioneer of African-American theatre.
In 1976, he and George Faison teamed to co-direct and choreograph the ill-fated Alan Jay Lerner-Leonard Bernstein musical 1600 Pennsylvania Avenue, which closed after seven performances.
Moses' off-Broadway work as a director won him an Obie Award for Amiri Baraka's Slave Ship (1969) and the New York Drama Critics' Circle Award for The Taking of Miss Janie (1975).
In 1986, his friendship with writer Toni Morrison led to his directing the world premiere of her first play Dreaming Emmett at Capital Repertory Theatre in Albany, NY.