Law, 31, popped the question to his bride-to-be the old-fashioned way — by getting down on one knee and asking a stunned Miller to marry him, sources told the Sunday Mirror of London.
"Yes! Yes! Yes!" the ecstatic 22-year-old actress shouted back at her betrothed.
"I'm the happiest girl in the world — I'm going to be Mrs. Law!" the paper said Miller later squealed to friends via phone from Venice, where she is filming a new flick and Law had popped in for one of his frequent quick visits.
The pair jetted to Manhattan yesterday for a brief, lovey-dovey stay in The Essex House overlooking Central Park , a source said.
"It's taken her breath away," one pal confided to the Mirror of Miller's engagement excitement. "She has been totally swept off her feet."
Law and Miller have been dating for more than a year after meeting on the set of "Alfie." (search)
Their engagement comes on the heels of Law's multimillion-dollar divorce settlement with his ex-wife, Sadie Frost (search), with whom he has three kids.