Craig, 43, and Weisz, 41, got married Wednesday in New York in front of just four guests, including Craig's 18-year-old daughter Ella, Weisz's 4-year-old son Henry and two friends.
The big-screen James Bond and the Oscar-winning actress began dating late last year when they played husband and wife in the upcoming horror film Dream House. Weisz previously was engaged to Oscar-nominated director Darren Aronofsky (Black Swan), whom she dated for nine years. Craig once was married to actress Fiona Loudon and dated film producer Satsuku Mitchell from 2004 to 2010.
Craig will next star in Cowboys & Aliens, which hits theaters July 29. Weisz's next film, Whistleblower, opens Aug. 5.