Brad Richards helped out with a pair of assists for the Rangers, who reeled off their fifth win in six contests and joined idle Ottawa in seventh place in the Eastern Conference with 52 points.
Martin Brodeur made 18 saves for the defending Eastern Conference champion Devils, who will sit out the post-season for the second time in three years.
Andrei Loktionov provided New Jersey's only goal.
2014: The Year in Fashion [PHOTOS]
LeBron James reveals his new Nike shoes