The announcement was made Friday by Julian Schlossberg and Letty Aronson, who are producing the musical adaptation of Woody Allen's and Douglas McGrath's screenplay for the 1994 crime-comedy film by the same name.
Set to open on Broadway during the 2013-14 season, the show will feature existing music of the 1920s from the great American songbook.
Additional creative team, dates, theater and casting will be announced shortly, the producers said.
Like the movie, the musical tells the story of an aspiring young playwright newly arrived on Broadway and forced to cast a mobster's talentless girlfriend in his latest drama so he can get it produced.
Stroman's stage credits include "The Scottsboro Boys," "The Producers," "Crazy for You," "Show Boat," "Oklahoma!," "Young Frankenstein," "The Frogs," "The Music Man," "Thou Shalt Not," "Steel Pier," "Big" and "Picnic."