It was Minnesota's fourth win in five games and came after the Wild let a two-goal lead in the third period slip away. The Canadiens had won two in a row.
Pominville snapped a 1-1 tie with the only goal of the second period and Nino Niederreiter's tip-in early in the third put the Wild in front by two.
Montreal then rallied on goals by P.K. Subban and Brian Gionta to get the score tied with 9:47 remaining in regulation.
That set the stage for Pominville, whose wrist shot brought about his ninth goal of the season.