Kaprizov leads the NHL in scoring with 14 points (four goals, 10 assists) in seven games since Nov. 18.
Jordan Greenway had a goal and two assists, Jonas Brodin had a goal and an assist, and Ryan Hartman had two assists for Minnesota (15-6-1). Kaapo Kahkonen made 29 saves.
"I think the depth is the best," Wild coach Dean Evason said. "We're not teaching, we're not coaching any differently. I just think that we've got some depth scoring that everybody's producing. They're all for the most part playing the right way and the same way, and if we do that, we feel that we'll be able to score goals.
"It's not one line, it's not two guys, it's not one defenseman. Everybody's involved in the offense. That's what we like, and it's more fun to play that way."