Michael Granlund and Zach Parise scored first period power play markers before the Wild took control of the contest, scoring four times in the middle frame.
Matt Dumba, Eric Staal, Jordan Greenway and Michael Foligno rounded out the scoring.
Devan Dubnyk picked up the win for Minnesota, stopping 29 shots.
Connor Hellebuyck and Steve Mason combined to stop 23 shots for Winnipeg.
There was no scoring in the third period.
Blake Wheeler and Tyler Myers scored for the Jets, who still lead the series 2-1.
Game four goes Tuesday night in St. Paul.