Carolina: Captain Ryan Callahan scored 2:55 into overtime as visiting New York clinched a play-off berth for the third consecutive season.
Derek Stepan matched Callahan with a goal and an assist, Derick Brassard scored for the fourth time in five games and Brad Richards also tallied.
Henrik Lundqvist made 18 saves for the Rangers who eliminated Winnipeg from postseason contention.
Meanwhile, David Desharnais and Max Pacioretty scored in under a three-minute span during the third period as visiting Montreal kept pace atop the Northeast Division by defeating Winnipeg, which was eliminated from postseason contention earlier in the evening.
Rene Bourque and rookie Brendan Gallagher also tallied and Carey Price turned aside 23 shots for the Canadiens, who won for just the second time in seven outings to remain even with Original Six rival Boston.
Blake Wheeler and James Wright scored and Ondrej Pavelec finished with 26 saves for the Jets, who were eliminated after the New York Rangers posted a 4-3 overtime victory over Carolina.
Elsewhere, defenceman Sergei Gonchar scored on a power play 47 seconds into overtime as visiting Ottawa clinched a play-off berth for the third time in four seasons.
Rookie Jakob Silfverberg scored his 10th goal and Craig Anderson made 19 saves for the Senators, who swept Washington in their three-game season series and moved into a tie for sixth place in the Eastern Conference.
REUTERS