The Blackhawks held the Stars to 27 shots and blocked 21 shot attempts in a 2-1 victory on the road.
David Kampf picked up his fourth goal of the season, and Alex DeBrincat scored the game-winning goal set up by Patrick Kane.
The fourth line had an impressive game, and the Blackhawks had one of their better defensive efforts this season to pull within seven points of the Wild Card race.
How it Happened
Five minutes into the first period, the fourth line got a 2-on-1 opportunity after Marcus Kruger won a board battle on a pinching Dallas defender.