Stafford, 31, was an unrestricted free agent who had 21 points (eight goals, 13 assists) in 58 games with the Boston Bruins and Winnipeg Jets last season. He had eight points in 18 games after he was traded to the Bruins on March 1.
Selected by the Buffalo Sabres in the first round (No. 13) of the 2004 NHL Draft, Stafford has 400 points (183 goals, 217 assists) in 725 regular-season games with the Bruins, Jets and Sabres.
Stafford adds depth at forward for the Devils, who will be without center Travis Zajac for the first four months of the season. Zajac had surgery on Aug. 17 to repair a torn left pectoral muscle.
