A spokesman for the couple confirmed that they exchanged vows at 5:30pm in front a small group of close friends and family.
Eddie Redmayne and Hannah Bagshawe have tied the knot after a two-year courtship
In keeping with his usual dapper style, Eddie wore a lilac shirt, lavender tie, waistcoat and pin-striped trousers for the happy occasion. He was seen outside greeting guests with a beaming smile.
Those in attendance included Tom Sturridge, who was alone as his fiancée Sienna Miller was in the US at the premiere of her film American Sniper.
Sienna Miller attending the US premiere of her latest movie, American Sniper, on Monday night.
Eddie Redmayne and Hannah Bagshawe married at Babington House
Eddie, 32, proposed to PR executive Hannah, also 32, after a two-year courtship on a holiday this summer, having asked her father for permission. The Eton-educated actor then announced their engagement in The Times.
Their engagement announcement read: "Mr E.J.D. Redmayne and Miss H.J. Bagshawe. The engagement is announced between Edward, son of Mr and Mrs Richard Redmayne of London, and Hannah, daughter of Mr Nicholas Bagshawe and Mrs Caryl Bagshawe, both of London."
He recently talked about planning the proposal and how he couldn't wait to be married. "I'm desperate. I'm jumping at the bit," he said.
It's been a wonderful year for Eddie, who is winning rave reviews for his performance as famed physicist Stephen Hawking in The Theory Of Everything.
The screen talent has received a Golden Globes nomination and is expected to be recognised when the Oscar nominees are announced.