Patrick Kane added a goal and two assists to the Blackhawks' total in the victory, which ended Chicago's three-game losing streak and the Stars' streak of six consecutive games with a point in the standings.
Antti Raanta made 27 saves in the game. The Blackhawks announced earlier in the day that starting goaltender Corey Crawford would be out three weeks with a lower-body injury.
Antoine Roussel scored both Dallas goals. Kari Lehtonen started in goal and left at 8:20 of the second period after allowing four goals on 19 shots. Dan Ellis came in and faced 14 shots, two of which made it into the net.
Chicago roared out to a 5-0 lead before Dallas got on the board at 13:36 of the second period.
Dallas went 0-for-5 on the power play and racked up 24 penalty minutes to 22 for Chicago.