Television News 'Late Show with David Letterman' finale date set by CBS 12/10/2014 David Letterman is to host his final broadcast of "Late Show" May 20, CBS announced Wednesday. Read More RELATED NEWS From Tokyo to Las Vegas: Taylor Swift's flight to Super Bowl LVIII'Chucky' Season 3 trailer released by USA Network and Syfy'Quantum Leap' Season 2 visits L.A. riots, Salem Witch Trials, and more TAGS: David Letterman Stephen Colbert Late Show with David Letterman Late Show