The contest was tied, 1-1, after the second period and remained deadlock through overtime.
Goaltender Henrik Lundqvist made 28 saves on 29 shots for the Rangers, who have won three in a row, and four of five.
Martin Brodeur stopped 26-of-27 shots for the Devils, who had won their previous two contests.
On the power play, both clubs went 0-for-3.
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