The loss snapped the Kings winning streak at 7 games and dropped them to 8-5-2.
Kyle Connor and Dylan DeMelo also scored for the Jets.
Connor Hellebuyck made 27 saves for Winnipeg as they moved to 8-3-3.
Carl Grundstrom and Brendan Lemieux scored for the Kings.
Cal Petersen stopped 20 shots for Los Angeles.
DeMelo's shorthanded third period tally was his first as a Winnipeg Jet when he scored 13:36 into the period.
Andrew Copp took control of the puck in the neutral zone before skating to the top of the faceoff cirlce and pausing before hitting DeMelo with a cross ice pass.
DeMelo beat Petersen between the legs to tie the contest at 2.
The Kings limited the Jets to 11 shots in the second and third periods.
Brendan Lemieux's goal 14:22 into the second gave the Kings the lead when he hammered a rebound past Connor Hellebuyck.
The Jets got on the board just under the two minute mark when Kyle Connor scored his 11th of the season after he snapped up his own rebound.
Carl Grundstrom tied the contest just over two minutes later when he snapped a high wrister past Hellebuyck to make it 1-1.
The Jets close out a 7 game homestand on Tuesday when they host the Edmonton Oilers while Los Angeles returns home to host Washington on Wednesday.
SHOTS-LOS ANGELES 29 WINNIPEG 23
ATTENDANCE-13,776