We had a great 30 minutes and a bad 30 minutes, and then fortunately we get the two points,” said Mats Zuccarello.
The Wild, who were blown out in each of their past two road games, improved to a league-best 22-9-3 (47 points) on the road.
Despite playing back-to-back matinees, the Bruins carried the play for much of the day, but Gustavsson was the star of the show.
Jared Spurgeon, Mats Zuccarello and Frederick Gaudreau each had a goal and an assist and Filip Gustavsson made 33 saves, including one on a penalty shot, as the Minnesota Wild