"You can see that (Kane is) playing with confidence," Jets coach Claude Noel said. "His speed seems to be wearing off on his linemates, as well, because it looks like (Bryan) Little's got a little bit more of a step, it looks like (Blake) Wheeler's got a step, as well.
"So it looks like it's a good thing that's happening with our group."
Little picked up a pair of assists, forward Alex Burmistrov had a short-handed goal and defenseman Mark Stuart scored the winner with less than 7 minutes left.
"I'm executing better and playing smarter and burying my chances," said Kane, who leads the Jets with 14 goals this season. "When I do that things happen for me."
"Right now when we give up opportunities, we're giving up real, real quality opportunities," said Devils forward Zach Parise, who assisted on Elias' goal.
"Throughout the course of the game we're not giving them much, but when we are it's breakaways or real Grade A chances so that's hurting us."
Kane scored his first goal when a shot from defenseman Dustin Byfuglien deflected off his stick past Hedberg at 1:42 of the first period.
New Jersey answered 4 minutes later with a low shot from Henrique that beat Pavelec on the glove side.
The teams each had six shots on goal in a tight-checking first period.
The Devils went ahead 2-1 with less than 3 minutes left in the second when Elias scored his ninth goal of the season on a two-man advantage. The Jets quickly tied it 2-2 on a short-handed goal by Burmistrov just over a minute later.
Winnipeg got a bit of a scare early in the third period when Kane fell while barreling to the net with the puck and banged his leg against the post. He briefly remained on the ice, but skated to the bench on his own and soon returned.
Kane put in his empty-netter unassisted with 32 seconds left.
Winnipeg improved to 7-4-0 at home in front of a sellout crowd of 15,004. ... New Jersey's four-game slide is its longest of the season ... The Jets host Boston on Tuesday, while the Devils travel to Toronto for a game against the Maple Leafs the same night.
Copyright by STATS LLC and The Associated Press
Arena: MTS Centre Location: Winnipeg, Manitoba
Referees: Ghislain Hebert, Chris Lee Linesmen: Lonnie Cameron, Jay Sharrers
Attendance: 15,004 (100.0% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Evander Kane (13)
Assists: Dustin Byfuglien, Bryan Little
Adam Henrique (6)
Assists: Zach Parise, Ilya Kovalchuk
Patrik Elias (9)
(Power Play) Assist: Adam Larsson
Alex Burmistrov (6)
(Shorthanded) Assist: Bryan Little
Mark Stuart (3)
Assists: Blake Wheeler, Zach Bogosian