Rod Roddenberry is the son of the TV and film franchise's late creator Gene Roddenberry.
"Gene Roddenberry, the Great Bird of the Galaxy, left a finely feathered nest for all who love 'Star Trek' to enjoy," Fuller said in a statement Thursday.
"And it is only fitting that Rod Roddenberry and Roddenberry Entertainment join our new Trek adventure to ensure that his father's legacy of hope for the future and infinite diversity in infinite combinations runs through our tales as Gene Roddenberry intended."
"Moral dilemmas, human issues, complex characters and a genuine sense of optimism: These are the cornerstones of 'Star Trek' and are what have made it such an influential and beloved franchise for the last 50 years," added Rod Roddenberry.
"While I will always be humbled by its legacy and the legions of fans who are its guardians, it's a genuine honor to be joining a team of imaginative and incredibly capable individuals whose endeavor it is to uphold the tenets of 'Star Trek's' legacy while bringing it to audiences in a new era and on a contemporary platform."
The new series will begin with a special preview broadcast on CBS in early 2017.
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The premiere episode and all subsequent first-run episodes will then be available exclusively in the United States on CBS All Access, the network's digital subscription video-on-demand and live-streaming service, CBS said.
The new, as-yet-untitled "Star Trek" series marks the first original program developed for CBS All Access.
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