An expected new episode of the show was replaced by a repeat on Wednesday. Comedy Central said Thursday's live show will be off, too.
The network said it was airing the repeats "due to unforeseen circumstances," but offered no other explanation. A person close to the show, who wasn't authorized to speak publically on the matter, told The Associated Press that new episodes are expected to return soon.
A publicist for Colbert declined to comment.
Colbert's popular "fake commentary" program airs Monday through Thursday, following "The Daily Show" with Jon Stewart.