Marc Shaiman and Scott Wittman, the “Hairspray” composers whose musical “Charlie and the Chocolate Factory” is currently playing on the West End, have signed with CAA.

It’s the first time the pair have signed with a tenpercentary. Kraft-Engel Management will continue to rep Shaiman exclusively in film and TV and manage him in theater.

The duo scored a Tony, an Olivier and a Grammy for their songs to 2002 tuner “Hairspray,” which in 2007 was made into a hit film. The musical version of “Charlie,” produced by Warner Bros. Theater Venture, opened in London last year and seems likely to materialize on Broadway sometime in the coming seasons.

The two also penned the 2011 musical adaptation of  “Catch Me If You Can.”

For TV, the duo were songwriters and exec producers on NBC series “Smash,” and Shaiman nabbed an Emmy for co-writing Billy Crystal’s perfs for the Academy Awards. He’s also notched five Oscar noms for film work on pics including “South Park: Bigger, Longer and Uncut” and “Sleepless in Seattle.”

Mark Sendroff of Sendroff and Baruch is the pair’s attorney.