The stage show directed by Spamalot choreographer Casey Nicholaw, which is based around a fan's love for a 1920s play, is the favorite to win Best Musical.
The Pajama Game landed nine nods while Jersey Bots and Awake and Sing! both scooped eight nominations.
The Broadway production of British playwright Alan Bennett's The History Boys is favorite to win Best Play, and is also up for six other awards.
The star-studded presentation ceremony will take place at New York City's Radio City Music Hall on June 11.
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