Derek Stepan and Brandon Dubinsky each added a goal and an assist while Dan Girardi also scored for the Eastern Conference-leading Rangers, who won for only the third time in eight outings.
New York improved to 97 points, three points better than Pittsburgh atop the East.
Henrik Lundqvist made 20 saves in the win, which began with three simultaneous fights only 2 seconds into the contest.
Martin Brodeur made 23 saves for New Jersey.
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