Datsyuk's 18th goal of the season put Detroit in front for good after the Red Wings broke a 1-1 tie at 1:53 of the third period. He also assisted on Henrik Zetterburg's 31st goal at 15:04 of the second.
Detroit's other goal was scored by Brian Rafalski (power play) at 14:02 of the third.
Chris Osgood stopped 22 of 23 shots in the Red Wings' seventh straight victory.
Tim Thomas gave up three goals on 32 shots for the Bruins, whose three-game winning streak ended.
The Bruins lost in regulation to the Red Wings for the first time since Dec. 11, 1999, and Thomas had his career-best five-game winning streak broken.
2014: The Year in Music [PHOTOS]