Brian Rolston and Todd White also scored for the Wild and goalie Manny Fernandez stopped 27 shots for his first victory since Nov. 11. The loss ended Chicago's three-game winning streak and prevented Denis Savard from becoming the first Blackhawks coach to win his first four games.
Savard replaced Trent Yawney as head coach last week and was rewarded for his strong start with a contract extension through the 2007-08 season earlier in the day.
After starting 9-2, the Wild had lost nine of its last 11 entering Tuesday's game and dropped to seventh-place in the Western Conference. Minnesota is 6-2 in shootouts this season.
Brandon Bochenski scored his first goal of the season and Bryan Smolinkski added a short-handed goal for Chicago.