Lundqvist made 25 of his stops over the final two periods and turned in his second shutout in three contests to start the series, boosting the Rangers into a 2-1 advantage over the Devils.
The game remained scoreless until 3:19 into the third period, when Rangers defenseman Dan Girardi snapped a shot off a faceoff win past Devils goalie Martin Brodeur from the right circle.
Chris Kreider doubled New York's advantage less than 2 minutes later off assists from Ryan McDonagh and Ryan Callahan, and Callahan added an empty-netter with 2:13 left.
Brodeur stopped 19-of-21 shots for New Jersey, which look to bounce back at home in Monday's Game 4.
2014: The Year in Music [PHOTOS]