"Stephen Colbert is one of the most inventive and respected forces on television," Moonves said. "David Letterman’s legacy and accomplishments are an incredible source of pride for all of us here, and today’s announcement speaks to our commitment of upholding what he established for CBS in late night."
Added Tassler: "Stephen is a multi-talented and respected host, writer, producer, satirist and comedian who blazes a trail of thought-provoking conversation, humor and innovation with everything he touches. He is a presence on every stage, with interests and notable accomplishments across a wide spectrum of entertainment, politics, publishing and music. We welcome Stephen to CBS with great pride and excitement, and look forward to introducing him to our network television viewers in late night."
The producers and the location for the Colbert-hosted "Late Show" will be determined and announced at a later date. The premiere date will be announced after Letterman determines his final broadcast.
"Simply being a guest on David Letterman’s show has been a highlight of my career," Colbert said. "I never dreamed that I would follow in his footsteps, though everyone in late night follows Dave’s lead."
He added: "I'm thrilled and grateful that CBS chose me. Now, if you'll excuse me, I have to go grind a gap in my front teeth."
Letterman announced his retirement on his April 3 show.