Rather's motion was denied without comment Tuesday by the Court of Appeals.
CBS spokeswoman Shannon Jacobs says the network is pleased with the outcome. A call to Rather's lawyer was not immediately returned.
Rather sued CBS and its top executives in 2007, claiming he had been wrongfully removed from his "CBS Evening News" anchor post over a report that examined President George W. Bush's military service.
In September, a five-member Appellate Division panel unanimously concluded there was no breach of contract because CBS still paid Rather his $6 million annual salary after the disputed 2004 broadcast.
