CBS offers selected episodes of "The Late Show with David Letterman" for viewing on its website. This is the only legal way to watch full episodes online. Other sites offering full episodes for free viewing are hosting illegal copies of the program.
"The Late Show with David Letterman" no longer airs as of May 2015. New episodes are no longer produced, and a replacement show hosted by Stephen Colbert airs in its place.
David Letterman's show has aired on both NBC and CBS. The NBC version of the show, "Late Night with David Letterman," is not available online or on DVD. It has not been available to view in syndication since 2005.