The Minnesota winger one-timed it home 6:47 in the third and the Wild held on to post only their fourth win in 15 games, knocking the Stars from playoff contention in the season's final regular-season game.
Brad Staubitz, Jared Spurgeon and Colton Gillies also scored and Pierre-Marc Bouchard added an empty-netter for Minnesota.
Jose Theodore stopped 26-of-29 shots for the Wild, who finished out of the playoffs for a third straight year with a 39-35-8 mark.
Dallas, meanwhile, needed a victory to claim the eighth and final Western Conference playoff seed but came up short. The spot went instead to the defending NHL champion Chicago Blackhawks.
Brad Richards, Brenden Morrow and Alex Goligoski found the net for the Stars and Kari Lehtonen made 18 saves in the setback.
The Stars also missed the post-season for the third straight year, finishing with a 42-29-11 record.