Kaprizov scored on the power play three minutes into the second period to give his Minnesota team a 2–1 lead. Maksim Sjabanov and Eriksson Ek assisted on the goal.
Swedish goalie Jesper Wallstedt, who has now won his sixth game of the season, made 13 saves for Minnesota.
"It felt like we controlled a lot of the game," he told nhl.com.
The team has now won four of its last five games.