Tomas Tatar had a power-play goal, Jesper Bratt scored an empty-netter and Jack Hughes had two assists as the surprising Devils improved to 17-2-1 on the road, including six straight wins. Mackenzie Blackwood made 34 saves, stopping a penalty shot by Kevin Fiala in the third period.
Fiala and Anze Kopitar scored on the power play, but Jonathan Quick allowed four goals on 27 shots and the Kings had their three-game winning streak snapped.
The Devils broke the game open with three goals in the second after both teams found the back on the net on the power play in the first.
Haula scored on a two-on-one rush 2:37 into the period to give New Jersey a 2-1 lead.
Kopitar tied it at 6:48 by tipping Drew Doughty’s shot from the blue line, but the Devils regained the lead 52 seconds later when Okhotiuk beat Quick under his right blocker on a long shot.
Graves made it 4-2 with 9:03 to go when his shot from the left point took an unexpected redirect off the skate of defenseman Sean Walker.
Milestone for Anze Kopitar
Kopitar scored his 200th career goal on home ice, becoming the fourth player in franchise history to do so. He joined Luc Robitaille, who leads the Kings with 322 goals at home, Marcel Dionne (288) and Dave Taylor (233).
Up next for the Kings: vs. Dallas at Crypto.com Arena on Thursday