The James Bond star has been dating Satsuki Mitchell for six years, but has always refused to comment on his personal life.
Gossips were sent into a frenzy earlier this week (begs15Feb10) when Craig was seen strolling through Brentwood, California wearing a gold band on his left hand - and insiders are convinced he and Mitchell are now husband and wife.
A source tells Britain's Daily Mail newspaper, "We all suspect they have got married. He has always said Satsuki is the one but he didn’t want a big showbiz wedding, that would be his worst nightmare. He’s very private."
The couple was rumoured to have become engaged in 2008 after Mitchell was seen sporting a diamond ring on her wedding finger.