Perfetti, who had seen a series of scratches since the Jets aquired Tyler Toffoli scored the first and last Jet goals on the night.
Josh Morrissey and Cole Perfetti each had a goal and an assist. Sean Monahan had the other Winnipeg goal.
Kyle Connor had three assists.
Laurent Brossoit turned aside 25 shots for Winnipeg, who moved to 45-24-6.
Viktor Ardvisson, Kevin Fiala, Antze Kopitar replied for the Kings.
Vladislav Gavrikov had a pair of assists.
Cam Talbot made 28 saves for Los Angeles, who dropped to 38-35-11.
Cole Perfetti opened the scoring 11:13 into the first when a sprawling Dylan DeMelo, who came in from his point position, got the disc to Perfetti, who lifted it past Cam Talbot to make it 1-0 Jets.
The Kings responded 1:17 later when Viktor Arvidsson blew a slap shot past Brossoit from his off wing at the top of the faceoff circle, beating the Jet goaltender high glove side to knot the contest at 1 after Trevor Moore hit the Los Angeles winger with a cross ice pass in full stride to send him into the Jet zone.
The goal was his 2nd of the season.
Kevin Fiala gave Los Angeles the lead 5:48 into the second stanza when Vladislav Gavrikov got him the puck along the side boards as he worked his way to the slot before spinning and firing, beating Brossoit with a low wrister through a screen to make it 2-1 Kings.
The goal was his 25th of the season.
Sean Monahan tied it up 11:49 into the second when he redirected a Josh Morrissey shot from the right side boards past Talbot to make it 2-2.
The goal was his 24th of the season.
Antze Kopitar made it 3-2 Kings just over two minutes later when he drifted a wrister past Brossoit from the slot, converting a Adrian Kempe feed from beside the net, beating the Winnipeg netminder high glove side at 13:56.
The goal was his 26th of the season.
Josh Morrissey tied it at 3 16:47 into the second after Cole Perfetti hit him with a cross slot feed after the Jet defenceman had cruised in toward the net.
The goal was his 9th of the season.
Cole Perfetti scored 13:05 into the third period when he converted a Neal Pionk feed, snapping a wrister past Talbot from forty feet out, beating the L.A. netminder just inside the left post.
The goal was his 17th of the season.
SHOTS-LOS ANGELES WINNIPEG
ATTENDANCE-13,334
NOTES-The game marked NHL Linesman and Winnipegger Ryan Galloway's last game. His career spanned 22 NHL seasons.
