Josh Morrissey, Mark Scheifele and Neal Pionk each had a pair of assists.
Connor Hellebuyck picked up the win for Winnipeg, who moved to 51-24-6 on the season.
Yanni Gourde had a goal and an assist for the Kraken.
Tomas Tatar and Tye Kartye also scored for Seattle.
Philipp Grubauer turned aside 20 shots for the Kraken, who dropped to 33-35-13.
Kyle Connor got the Jets on the board 10:33 into the first period when Mark Scheifele hit him with a backhand pass from behind the net which he converted, snapping the disc past Philipp Grubauer to make it 1-0.
The goal was his 33rd of the season.
Tomas Tatar evened the contest 18:38 into the first when he took a feed from Pierre-Edouard Bellemare, who immediately moved in front of Hellebuyck to provide a screenbefore Tatar fired a wrister past Hellebuyck to make it 1-1.
Connor restored the Winnipeg lead after he converted a Josh Morrissey feed before snapping a shot just under the cross bar at 19:54.
Nikolaj Ehlers scored 2:30 into the second off a nice second effort.
Grubauer bobbled the initial shot and Ehlers knocked the loose puck in the crease past him as he was falling to the ice to make it 3-1 Jets.
The goal was his 25th of the season.
The goal was his 9th of the season.
A late giveaway by the Jets proved costly when Tye Kartye forced a turnover along the boards before driving the net and receiving a Yannick Gourde return pass before hammering the puck past Hellebuyck to knot the game at 3.
Tyler Toffoli scored on the power play at 11:40 of the third when Nikolaj Ehlers hit him cutting through the slot.
Toffoli cut to his backhand before sliding the puck past Gubauer to make it 4-3 Jets.
The goal was his 33rd of the season.
Both teams wrap up the regular season on Thursday as Seattle visits Minnesota and Winnipeg hosts Vancouver.
SHOTS-SEATTLE 23 WINNIPEG 24
ATTENDANCE-15,225
