J.T. Miller and Brady Skjei scored 3:50 apart late in the second period, Antti Raanta stopped 19 shots for his second straight shutout and New York beat New Jersey.
Chris Kreider had a goal and an assist, and Brandon Pirri and Jimmy Vesey also scored to give the Rangers their first three-game winning streak since Nov. 12-15.
Raanta, starting for the third time in four nights and coming off a 1-0 overtime win against Chicago on Friday, got his sixth career shutout and improved to 8-1-0 with a 1.65 goals-against average in 10 starts this season.
Cory Schneider finished with 25 saves for New Jersey, which lost its third straight. The Devils had an early goal disallowed after a review and another didn't count because it came after a whistle.