According to a story in the Evening Standard, "Thousands of votes were received on our website, and the hit musical, currently at the Prince of Wales Theatre, beat off tough competition to scoop the prize."
Other shows that were nominated included Once and The Curious Incident of the Dog in the Night-time.
The Book of Mormon is also in contention for the Ned Sherrin Award for Best Musical. Also nominated are the Menier Chocolate Factory's production of Merrily We Roll Along and The Light Princess at the National Theatre.