It is expected that the London production will begin casting in the U.K. shortly.
Representatives for the Broadway production did not have information on future London plans.
"South Park" creators-writers Trey Parker and Matt Stone and Tony-winning Avenue Q songwriter Robert Lopez collaborated on the script and score to the musical, which earned Tony Awards for Best Book, Best Score and Best Musical.
A U.S. tour will launch Aug. 14-Sept. 2 at Denver's Ellie Caulkins Opera House, prior to a 12-week Los Angeles engagement at the Pantages Theatre Sept. 5-Nov. 25. A five-week San Francisco engagement at the Curran Theatre has also been announced.
Previously announced tour stops also include the Civic Center of Greater Des Moines (Jan. 24-Feb. 3, 2013) and the Orpheum Theatre in Minneapolis (Feb. 5-17, 2013). Mirvish Productions will bring The Book of Mormon to Toronto in May-June 2013. A separate production of The Book of Mormon will play a 12-week Chicago engagement at the Bank of America Theatre. It will play Chicago Dec. 1, 2012-March 2, 2013, according to the Bank of America Theatre website.