The appearance on the CBS chat show will feature Reeve Carney, Jennifer Damiano and T.V. Carpio, debuting the show's Act I anthem, "Rise Above."
"Late Show with David Letterman" airs in the New York metropolitan area on CBS, Channel 2.
Spider-Man Turn Off the Dark features a book by Julie Taymor and Glen Berger, and new music and lyrics by Bono and The Edge. The musical had originally been announced to arrive during the 2009 season, but was postponed due to financing.
After several postponements this season, the production is currently scheduled to open at the Foxwoods Theatre March 15.