The Sun newspaper in London said the couple, who met in 2005 on the set of the film "The Jacket," are set to marry after Craig finishes his work on "Quantum of Solace," the latest installment in the Bond movie franchise.

Mitchell is a film producer.

"Daniel and Satsuki are so loved-up. He asked her to marry him and she's been showing off a very beautiful Cartier ring," a source told the newspaper. "It has a large diamond solitaire with a platinum setting."