Niklas Hjalmarsson followed with another tally 1 1/2 minutes later and Marian Hossa iced the Blackhawks' sixth straight victory with an empty-netter.
Hossa added two assists while Jonathan Toews chipped in with a goal and a helper for top-seeded Chicago, which improved to 33-5-4 (70 points).
Ray Emery earned the win 16 saves.
Jamie Benn supplied both goals for Dallas, which remained two points out of the Western Conference's eighth and final post-season slot after falling for the first time in six contests.
Richard Bachman made 23 stops for the Stars.
Exploding whale video goes viral on Internet
18-year-old elf alleges mall Santa pinched her buttocks on the job