Daniel's publicist confirmed that the famously secretive couple tied the knot in New York in June, with reports suggesting they wed in front of just four people.
The News of the World quotes a source as saying:
"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."
The couple met on the set of their forthcoming horror film The Dream House and have worked hard to keep their relationship out of the limelight.