The musical received four trophies over the weekend (19-20Feb11), including Best Actress in a Musical for Sheridan Smith, who plays the role Reese Witherspoon famously portrayed in the big screen original.
The show, staged at the Savoy Theatre in the U.K. capital, also won prizes for Best Supporting Actress (Jill Halfpenny), Best New Musical and Best Choreographer.
Meanwhile, Andrew Lloyd Webber's Love Never Dies scored two awards for Best Actor (Ramin Karimloo) and Best Supporting Actor (Joseph Millson).
Glee actor Jonathan Groff was also named Newcomer of the Year for his turn in Deathtrap.
Poirot star David Suchet was applauded as he picked up the Best Actor in a Play title for All My Sons, while his co-star Zoe Wanamaker won the female equivalent.
The musical Wicked, which was inspired by the Wonderful Wizard of Oz, took home two trophies including Best West End Show for the second consecutive year.