The couple began dating in November and were reported to have moved in together earlier this year.
They wed in a private ceremony at a friend's house with just four guests in attendance - Craig's 18-year-old daughter Ella, Weisz's son Henry, four, plus two family friends who acted as witnesses.
"Daniel and Rachel insisted on having a small, quiet wedding. They are madly in love and couldn't wait to be husband and wife - but they wanted minimum fuss," a source told the News of the World.
"They had a couple of friends as witnesses and their children from previous relationships and that was it."
The newlyweds play husband and wife in the forthcoming thriller Dream House.