Host David Letterman has taped in Manhattan since 1993.
Mayor Bill de Blasio is urging CBS to keep "The Late Show" in New York City after David Letterman retires.
Letterman announced last week that he will step away from the show sometime in 2015.
He has taped from The Ed Sullivan Theater in Manhattan since he moved to CBS in 1993.
His successor has not yet been named nor has CBS committed to keeping the show in New York.
De Blasio said he spoke to CBS President Leslie Moonves on Monday and promised that New York would continue to be "an extraordinary home" for the show.
Los Angeles Mayor Eric Garcetti is asking CBS to move "The Late Show" to California. Earlier this year, another late-night show, "The Tonight Show," left Los Angeles to film in Manhattan.