Vladislav Namestnikov, Cole Koepke and Jonathan Toews scored the other Jet goals.
Gabriel Vilardi and Cole Perfetti each had a pair of assists.
Eric Comrie turned aside 23 shots for Winnipeg, who moved to 16-22-5.
Quentin Byfield scored the lone goal for the Kings, who dropped to 18-15-10.
Darcy Kuemper made 14 saves for Los Angeles.
Vladislav Namestnikov got the Jets on the board early when he deflected a Logan Stanley shot past Darcy Kuemper to make it 1-0.
The goal was his 7th of the season and first in 30 games.
Cole Koepke made it 2-0 at 18:05 when Dylan Samberg hit him with a cross ice pass that the rookie forward slid into a wide open net.
Jonathan Toews scored just over two minutes into the second to give Winnipeg a three-goal cushion.
Colin Miller threw the puck at the net from the point before Toews redirected it into the blue paint with his skate and shovelled it into the net.
The goal was his 4th of the season.
The tally snapped an 18 game goal less for Toews.
Quentin Byfield got Los Angeles on the board 9:32 into the second when he used his skate to redirect the puck past Comrie off a shot from Taylor Ward.
Jets Head Coach Scott Arniel challenged the goal, citing goaltender interference but the goal was allowed to stand.
The goal was Byfield's 7th of the season.
Mark Scheifele made it 4-1 with a power play marker at 12:35 when he fired the puck off of Quentin Byfield's skate, catching Kuemper off guard to score his 21st goal of the season.
Scheifele scored again with 43 seconds remaining in the second, finishing off a three-way passing play after Gabriel Vilardi won a puck battle in the neutral zone.
The goal was his 22nd of the season.
SHOTS-LOS ANGELES 24 WINNIPEG 19
ATTENDANCE-14,412