Andreas Engqvist scored in the first for Montreal (2-2), and Alex Auld, who faced one shot in the second, made 11 saves.
Anton Khudobin stopped 24 shots for Minnesota, which was outshot 28-14 overall, including 13-4 in the first and 9-1 in the second.
Montreal took a 2-1 lead 6:23 into the second when Alexandre Picard's shot from the left point struck White on its way past Khudobin.
Boyd made it 3-1 with the Canadiens' next shot at 6:57 after he stripped the puck from Wild defenseman Clayton Stoner.
Nash drove Montreal's 18th shot past Khudobin from the left faceoff circle at 8:02. The Canadiens scored three times on three shots in a span of 1:39.
Engvist opened the scoring 9:49 with Montreal enjoying a 12-1 margin in shots.
Clutterbuck drew Minnesota even at 1 on the Wild's second shot 12:12 in. Falk made it 4-2 in the third.