Published: 11:15, Sat, February 7, 2015
The 33-year-old is tipped to add the gong to his trophy cabinet at the star-studded awards on Sunday.
Eddie, who has been lauded by the critics for his portrayal of scientist Stephen Hawking in The Theory Of Everything, has already won a Screen Actors Guild Award and a Golden Globe for the role.
If the London-born actor finds himself victorious at the BAFTAs it should make up for his last trip to the awards.
The star missed his big moment in 2013, when he was set to present the award for original screenplay, after he was suddenly taken ill backstage.
That left Lincoln star Sally Field to come on stage alone and tell the audience: "He seems to be puking his guts out back there", before giving the award to Quentin Tarantino for his western Django Unchained.
The actor had to make do with a kind word from his Les Miserables co-star Anne Hathaway who confirmed his illness when she picked up her award for Best Supporting Actress, saying: "Eddie, feel better. I would be holding your hair back, but - food poisoning is just the worst."
Eddie faces tough competition in the Best Actor category, including fellow British star Benedict Cumberbatch for his role in The Imitation Game, as well as Michael Keaton for Birdman, Ralph Fiennes for The Grand Budapest Hotel and Jake Gyllenhaal for Nightcrawler.
His on-screen wife, Felicity Jones, could triumph as well after she was nominated for the best actress award against stars including Amy Adams and Reese Witherspoon.
The film is based on the memoirs of Hawking's ex-wife Jane which deals with their relationship, his scientific success and the onset of motor neurone disease which left him severely disabled.
Felicity also faces competition from Gone Girl star Rosamund Pike and Julianne Moore for her emotional portrayal of an Alzheimer's sufferer in Still Alice.
Other nominations include nods for Keira Knightley and Imelda Staunton for best supporting actress and Steve Carell and Ethan Hawke for best supporting actor.
The awards, seen as a dry run for the Oscars, will be handed out at London's Royal Opera House.
Among the other awards presented on the night is the Rising Star, which recognises the best new talent.
Unbroken actor Jack O'Connell is among those nominated along with Gugu Mbatha-Raw, who starred in last year's period drama Belle as a mixed-race aristocrat, and Margot Robbie, who first found fame playing Donna Freedman in TV soap Neighbours and has gone on to appear in The Wolf Of Wall Street.
READ MORE HERE: http://www.express.co.uk/news/showbiz/556740/Eddie-Redmayne-beat-Benedict-Cumberbatch-Best-Actor-BAFTA