The chat show host replaces Joanna Lumley at the helm of the ceremony, which celebrates the year in cinema.
Graham has previously hosted the Bafta TV awards on various occasions, but 2020 will mark the first time he has presented the film awards.
He said: “I’m delighted to be taking the helm of the biggest night in British Film, the audience at the Royal Albert Hall will be the biggest sofa I’ve ever faced.
“I’m honoured to be following in the fabulous footsteps of Stephen Fry and Joanna Lumley,” he added.
Absolutely Fabulous star Joanna had hosted the previous two years, after replacing long-standing host Stephen Fry.
However, she was met with a mixed reception from viewers during both ceremonies, after some of her jokes failed to land.
The nominations for next year’s Baftas are set to be revealed on 7 January, with the ceremony taking place less than a month later on 2 February.
Organisers have also announced Cirque du Soleil will return to perform at the during the show for the fourth year, with a piece especially created for the ceremony.