The original show aired between 1978 and 1991, running for 14 seasons. It became a worldwide hit with storylines such as 'Who shot JR?' making tabloid headlines. Every episode, which amounts to 357 hours of footage, will be shown by the broadcaster.
Chris Sharp, chief programming officer for Chello Zone, said: "CBS Drama is the TV destination for people who want to see outstanding entertainment, both current and classic. From September viewers will be able to rediscover their love for one of TV's most treasured and iconic drama series, Dallas.
"It is the perfect addition to the channel's lineup, with its over-the-top storylines and memorable characters it still inspires programme makers today. We're sure UK viewers will relish the chance to relive it from the very beginning."
Dallas was based around the lives of the filthy rich Texas oil barons the Ewings and featured Larry Hagman, Linda Grey and Patrick Duffy in its cast.
TNT is currently working on a reboot of the popular series. Ex-Desperate Housewives actor Jesse Metcalfe is among the new cast.
The show will air in September on CBS Drama.