The Theory of Everything star, 32, tied the knot with fiancée Hannah Bagshawe on Monday at Babington House in Somerset, England, his rep confirms to PEOPLE.
"I am happy to confirm that Hannah and Eddie married today," the rep says in a statement. "They celebrated with a small number of close family and friends."
Redmayne and Bagshawe were engaged over Memorial Day weekend.
The actor has been nominated for both Screen Actors Guild and Golden Globe awards for his portrayal of theoretical physicist Stephen Hawking as the role continues to garner Oscar buzz.
"It shows that the people seem to be responding to it," Redmayne told PEOPLE last week. "As an actor, if you're lucky enough to tell interesting stories about interesting people, then that's a dream. But when they touch a nerve or connect people, that's even better, so it does feel like an extraordinary thing. I'm just really happy right now."
Reporting by MARY GREEN