Lundqvist benefited from a tight Rangers defense that allowed only three Devils shots in the third period.
The New York netminder notched his 43rd career whitewash as the Eastern Conference-leading Rangers won for the fifth time in six home games.
Ryan Callahan assisted on Carl Hagelin's first-period goal and added an empty-netter to provide New York's offense as the two teams combined for only 28 shots in a defensive struggle.
Martin Brodeur stopped 13-of-14 shots for the Devils, who sustained a third straight regulation-time loss for the first time since early December.
Notable deaths of 2014 [PHOTOS]