The Lieutenant of Inishmore has been nominated for several awards. Martin McDonagh, the playwright, was nominated for the Playwriting category at the Obie Awards. Wilson Milam, the director, was nominated for Outstanding Director at The Lortels. The Atlantic Theater Company, which produced the play, was also nominated for Outstanding Play at The Lortels. These nominations highlight the recognition and acclaim that The Lieutenant of Inishmore has received in the theater industry.