John Klingberg scored the go-ahead goal late in the second period, when Dallas scored on four of its team-record 30 shots in the period, and the Stars beat the Anaheim Ducks 5-3 on Saturday night.
Alexander Radulov, Connor Carrick and Jamie Benn also scored for Dallas in the second. Tyler Seguin assisted on the goals by Radulov and Benn.
The barrage wiped out a 3-0 Anaheim lead and came against Ducks goalie John Gibson, who entered the game 3-0-1 with a 1.44 goals against average.
Klingberg's goal from the right point to the upper left corner of the net came at 17:46, 2 seconds before a roughing penalty against Gibson expired.
Radek Faksa added a length-of-the-ice, empty-net goal with 1:28 to play.
The NHL record for shots on goal in a period is 33, by the Bruins in the second period of a 3-2 home win over Chicago on March 4, 1941.
The loss was Anaheim's first. Dallas is 3-1.
Anaheim's Jacob Silfverberg and Kiefer Sherwood had first-period goals, and Adam Henrique added a power-play goal at 8:09 of the second, when the Ducks had only three shots on goal.
Gibson finished with 46 saves.
Anton Khubodin stopped 22 shots for Dallas.
Anaheim's first-period goals resulted from long-range shots.
Silfverberg took the puck in the right corner, skated around to the left point and sent a wrist shot past a screen by Max Comtois for the first goal at 9:01.
At 13:28, Sherwood scored his first NHL goal when he tipped Josh Manson's shot from the right point up and past Khubodin.
Anaheim stretched its lead to 3-0 on the Ducks' first power play of the game.
Dallas finally took advantage of the huge advantage in shots on goal at 11:14 of the second, when Radulov scored from the left faceoff circle on the Stars' first power play. At that point, they had outshot Anaheim 28-13.
That goal seemed to energize Dallas. On the Stars' next four shots, they scored twice 9 seconds apart to tie the game at 3. Carrick scored his first goal for the Stars from the slot at 13:52, and Benn scored off the faceoff with a wrist shot from the left circle.