Nik Antropov scored the game's first goal, Antti Miettinen had his first goal of the season and Andrew Ladd had an empty-netter with 39 seconds left for Winnipeg (14-11-2). It was Ladd's 14th goal of the season. Dustin Byfuglien had a pair of assists for the Jets.
Ryan Callahan was the lone scorer for the Rangers (13-11-2), while Hendrik Lundqvist stopped 30 shots.
The teams were tied for eighth place in the Eastern Conference heading into the game, but New York has a game in hand.
The teams kept the tempo high in the second and the Jets went ahead 2-1 on Miettinen's first goal of the season in only his seventh game.
Byfuglien sent a wrist shot from the point at Lundqvist, who was being screened by Miettinen. The puck deflected off the right winger into the net at 14:52.
Shots on goal were even 22-22 after the second intermission.
Both goalies made some good saves in the third, with Lundqvist making two big saves in the final three minutes.
Lundqvist left the ice with just over a minute and a half remaining in the game to give New York an extra attacker, but the Rangers turned the puck over in Winnipeg's end.
Olli Jokinen passed it up in the neutral zone to Blake Wheeler, who moved it ahead to Ladd for an easy 14th goal of the season.
New York paid for a penalty early in the first period after defenceman Michael Del Zotto went to the box for cross-checking at 1:46.
Twelve seconds later, Jets centre Kyle Wellwood passed the puck across the ice just inside the blue-line to Byfuglien, who fired at the net and watched teammate Antropov flip the puck past Lundqvist with a backhand shot.
Antropov is on a four-game point streak with two goals and four assists.
The Rangers got a free chance to score when Marian Gaborik got to take a penalty shot after Byfuglien hooked him at 11:17, but his attempt to stuff the puck under Pavelec's pad was unsuccessful.
Callahan tied the game at 1:11 of the second period as he stood in front of the net and redirected a shot by Derek Stepan.
Notes – Winnipeg heads out on the road for games against Toronto on Saturday and Ottawa on Sunday. The Rangers finish their four-game road trip on Saturday in Pittsburgh.Suggest a correction