Kane appeared to give Chicago a lead at 1:05 of the first period. Dallas challenged for offside and video review confirmed Dach preceded the puck into the offensive zone and the goal was nullified.
The Blachawks did take a 1-0 lead when Kane sent a saucer pass on the rush to Dach, who scored past Oettinger's glove at 12:13. It was Kane's 50th point this season (13 goals, 37 assists).
Kubalik made it 2-0 at 9:39 of the second period when he received a pass across the slot from Hinostroza on a 2-on-1.
"I got the puck and gathered it and had a lot of time," Hinostroza said. "I looked and there [weren't] any backcheckers coming, so I kind of looked at the net and slid it over to [Kubalik]. I've watched him score five-hole so many times, so as soon as I see it get past the [defenseman], I knew what he was going to do."
DeBrincat intercepted Andrej Sekera's pass along the boards and scored from the left face-off circle to make it 3-0 at 19:05. It was his 20th goal of the season.
"The first two goals, the first one was just a bad play by me, a bonehead play of shooting into our own player, it gives their best line a 2-on-1 and they score," Stars forward Andrew Cogliano said. "The other one, we have a good shift, we get greedy and we give up another 2-on-1, and they score. Obviously we weren't doing the right things at the right time and we gave that team exactly what they wanted with the rush goals."
Cogliano made it 3-1 at 1:29 of the third period on a shorthanded breakaway with a backhand between Lankinen's legs.
Stars defenseman Esa Lindell's shot from the point went off the boards behind the net to Radek Faksa, who made it 3-2 at 13:46.
Kane scored into an empty net with six seconds remaining for the 4-2 final.
"You have to carry the third period to the other game," Faksa said. "It was a good third period, and if we play like that for 60 minutes the next game, we have a really good chance to win."
NOTES:Kane joined Edmonton Oilers forwards Connor McDavid (22 goals, 42 assists) and Leon Draisaitl (19 goals, 38 assists) as the NHL players with more than 50 points. ... Kane tied Bobby Hull for the second-most 50-point seasons in Blackhawks history with 14. Stan Mikita had 18.... The Stars were 3-for-3 on the penalty kill and are 8-for-8 in their past four games. The Blackhawks are 0-for-10 with the man-advantage the past three games. … Chicago forward Pius Suter was 11-for-17 (64.7 percent) on face-offs and won more than 10 in a game for the fourth time this season.