The 66-year-old host said he will end is tenure following the end of his current contract, which expires in 2015. Letterman made the announcement during the April 3 taping of the long-running CBS show at the Ed Sullivan Theatre. In his 21 years with "The Late Show With David Letterman" on CBS, the talkshow host has welcomed numerous guests from Broadway, including Glenn Close (costumed as Norma Desmond) during her run in Sunset Boulevard, as well as the casts of Once, Godspell, Nice Work If You Can Get It, Spider-Man and The Book of Mormon, along with Sutton Foster and the cast of Anything Goes, and Norbert Leo Butz and the cast of Catch Me If You Can.

Each December Letterman welcomes Hairspray star Darlene Love to perform the holiday rock tune "Christmas Baby Please Come Home."

Letterman recently spoofed John Travolta's mispronunciation of Tony Award winner Idina Menzel's name on the Academy Awards with The "Top Ten Ways To Mispronounce Idina Menzel." Watch the segment here.