Derek Stepan scored two goals for the Rangers, who used the win to keep pace with the crosstown rival New York Islanders in the battle for the eighth and final Eastern Conference playoff spot.
Rick Nash added an insurance goal in the third period as New York rallied from an early 2-1 deficit to break a two-game losing streak.
Henrik Lundqvist stopped 26-of-28 shots to earn the victory.
Ondrej Pavelec turned aside 31-of-35 shots for the Jets.
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