The 'High School Musical' star will play the title role in the Alan Jay Lerner and Frederick Loewe production, which will be directed by Eric Schaeffer, reported Variety online.
Gigi has previously been played onstage by Audrey Hepburn, and French actress Leslie Caron.
British playwright and BAFTA-winning screenwriter Heidi Thomas will revamp the story for the new production, which will open at the Eisenhower Theater at The John F Kennedy Center for the Performing Arts in Washington, DC from January 16 to February 12 next year.
"I think it's (musical theatre) the true test. There are no second takes. You've got to bring everything you've got for the most critical of audiences. It's an honour, if anything. I'm over the moon," she added.