Da has been nominated for several awards, including Best Play at the New York Drama Critics Circle Awards and the Outer Critics Circle Awards. It was also nominated for Best New Play at the Drama Desk Awards, with Hugh Leonard receiving the nomination. Melvin Bernhardt, the director of Da, was nominated for Outstanding Director - Play at the Drama Desk Awards and Best Director at the Outer Critics Circle Awards. Additionally, Richard Seer received a Performance nomination at the Theatre World Awards for his role in Da.