The 13-episode series, starring British actors Joseph Fiennes and Jack Davenport, has been acquired by the channel with exclusive UK terrestrial and digital rights for Fiver and Five USA.
"I am delighted we will be the UK broadcaster of this gripping new series," said Five's managing director Jeff Ford. "When we saw the pilot at the LA screenings this year, we knew it would be perfect for our channels and make a fantastic addition to our autumn lineup."
ABC's Catherine Powell added: "The buzz surrounding FlashForward has been rapidly growing internationally and from our very early discussions, Five shared the same excitement and enthusiasm.
"They also have an impressive track record of breaking US shows in the UK and will be an energetic and creative marketing partner to ensure we make the most of FlashForward's clear appeal to British viewers."