Chenoweth joins Harvey Fierstein who, as well as writing the screenplay for the live broadcast, will reprise the role of Edna Turnblad which he originated on Broadway.
The cast also includes Jennifer Hudson as Motormouth Maybelle, Martin Short as Wilbur Turnblad and Derek Hough as Corny Collins. Maddie Baillio is making her professional debut as Tracy.
Hairspray LIVE will be directed by Kenny Leon who helmed The Wiz LIVE last year. He will work alongside the show's original choreographer Jerry Mitchell. It is unknown whether the show will follow the footsteps of Fox's Grease LIVE and be shown in the UK.
Hairspray has music by Marc Shaiman, lyrics by Scott Wittman and Shaiman and book by Mark O'Donnell and Thomas Meehan.