UPDATE 1-CBS adds live NFL games to its streaming video service

(Adds information on deal and All Access, quote from NFL commissioner)

Dec 1 ( Reuters) - CBS Corp's All Access subscription-based streaming video service will offer live National Football League games beginning Sunday, Dec. 4, CBS said on Thursday.

The service covers all NFL games that air on CBS throughout the rest of the current season and post-season, it said in a statement.

For mobile customers, the games will be available only to subscribers who are also Verizon Communications customers, due to the telecom company's exclusive mobile rights deal with the NFL.

The multi-year deal is a way for the league to reach those consumers who do not subscribe to a TV package. " Distribution of our games on CBS All Access is a win for the millions of NFL fans across the country, especially those looking to watch our games on these emerging digital platforms," said NFL Commissioner Roger Goodell.

All Access costs subscribers $6 a month for live and on-demand content, though the lack of pro football has been cited by analysts as an impediment to growing the platform. CBS is planning two TV series that will be exclusive to CBS All Access - a spinoff of "The Good Wife" and a new " Star Trek" series - as another way of boosting subscribers. (Reporting by Tim Baysinger; Editing by Jeffrey Benkoe and James Dalgleish)