The win was their third straight.
Josh Morrissey, Jonathan Toews and Dylan DeMelo had the other Jet goals.
Mark Schefiele had a pair of assists.
Connor Hellebuyck made 23 saves for Winnipeg, Anthony Duclair, Emil Heineman, Kyle MacLean and Matthew Schaefer scored for the Islanders.
Ilya Sorokin turned aside 17 shots for New York, Kyle Connor got the Jets on the board 4:20 into the opening stanza when he lifted Matt Barzal's stick and fired the puck into a wide open cage following a deflection from Alex Iafallo.
Josh Morrissey scored 5:41 into the second when he fired a wrister past Sorokin off a rebound on a Cole Perfetti shot from close in.
The disc went right to a waiting Morrissey, who snapped a shot just inside the left post.
Jonathan Toews made it 3-0 on the power play at 6:23 when he cleaned up a rebound to score his 6th goal and third in his last three games.
Anthony Duclair got the Islanders on the board at 7:40 when Anders Lee hit him with a slick backhand feed from the right corner.
The Islander winger made no mistake, squeezing a hard wrister between Hellebuyck's catcher and the post.
Emil Heineman scored on an awarded penalty shot after Luke Schenn hooked him on a breakaway.
Kyle MacLean tied it 10:21 into the second when he fired a 40 foot wrister past a screened Hellebuyck. The goal was his 2nd of the season.
Dylan DeMelo gave the Jets a 4-3 lead at 12:23 when he shot the puck from the point past a screened Ilya Sorokin beating him just inside the left post.
Mark Scheifele hit a milestone with his 500th career assist with the goal.
Islanders Head Coach Patrick Roy challenged the goal, citing goaltender interference but the goal was allowed to stand.
The goal was his 3rd of the season.
Mark Scheifele appeared to have scored a late power play goal when Kyle Connor hit him on the side of the net but the goal was disallowed when it was ruled he knocked it in with his glove.
Adam Lowry scored with just under twenty seconds left in the second when he tipped a puck past Sorokin off a Neal Pionk shot from the right point to make it 5-3.
The goal was his 1st of the season.
Matthew Schaefer scored to pull the Islanders to within one at 19:45 with with an extra attacker.
The goal was his 13th of the season.
SHOTS-NEW YORK 27 WINNIPEG 22
ATTENDANCE-14,114
