Ryan Hartman had a goal and two assists, and Kaapo Kahkonen made 29 saves for Minnesota (16-6-1), which has outscored its opponents 23-9 during the streak.
"We thought we played really, really well in this hockey game for a group that pushed again, did the same thing to us in New Jersey (in a 3-2 shootout win Nov. 24)," Wild coach Dean Evason said. "We got up and then they just keep coming. It's like they're not fazed. For us to respond again in the right manner was real good all around."
Ryan Graves and Tomas Tatar scored, and Dougie Hamilton had two assists for New Jersey (9-8-4), which has lost two straight and seven of its past nine (2-5-2). Mackenzie Blackwood made 33 saves.
"We got smoked on the compete, there's no doubt," Devils coach Lindy Ruff said. "First goal, went around us. Net front, we got beat. They won the compete game, there's no doubt."
Kaprizov gave the Wild a 1-0 lead at 8:49 of the first period. He received a stretch pass from Hartman along the right boards, held off Graves, and shot short side as he cut across the crease.
Rem Pitlick waited out Blackwood and scored into an open net following a turnover by Graves to extend the lead 2-0 at 11:09.
Kaprizov then made it 3-0 at 2:28 of the second period with a one-timer from a sharp angle that deflected in on the rebound off the helmet of Devils defenseman Damon Severson.
"Our defense had a tough night," Ruff said. "Our defense is better than that. Our defense probably had as tough a night as I've seen them."