The 32-year-old actor tied the knot with his fiancée at Babington House in Somerset, south-west England yesterday (15.12.14).
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His representative told PEOPLE.com in a statement: ''I am happy to confirm that Hannah and Eddie married today.
''They celebrated with a small number of close family and friends.''
Yesterday (15.12.14), reports revealed that the couple were having a winter-wonderland themed event.
'The Theory of Everything' star admitted: ''We like the hymn 'In The Bleak Midwinter' and wanted an excuse to sing that at a wedding.''
The theme was reportedly brought alive by a special effects team at the Grade II* listed manor house, which is no stranger to celebrity weddings with reality TV star Millie Mackintosh and rapper Professor Green recently tying the knot at the venue.
Eddie announced the couple's engagement in The Times newspaper's Marriages, Births and Deaths column earlier this year.
The 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.''
Meanwhile, Eddie previously revealed that he measured Hannah's finger in her sleep so he knew what size engagement ring to buy for her.
He waited for ''the middle of the night'' before ''taking her hand, and putting her finger next to my finger'' to guess the right size.
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