Taylor Louderman, Ashley Park and Kate Rockwell will also have roles in the musical, which has been adapted by Tina Fey from her screenplay, according to The Hollywood Reporter.
Henningsen, who was seen recently in the Broadway revival of "Les Miserables", has been cast as Cady Heron, who was played by Lindsay Lohan in the film.
Louderman will step into Rachel McAdams' shoes as Regina George.
Park and Rockwell will take on the roles of Regina's sidekick frenemies Gretchen Wieners and Karen Smith, who were played by Lacey Chabert and Amanda Seyfried, respectively, in the movie.
Casey Nicholaw will direct and choreograph the Broadway- bound musical, which will feature music by Jeff Richmond and lyrics by Nell Benjamin.
The musical will have its world premiere in the fall at D.C.'s National Theatre.
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