Hitchcock is the third coach in NHL history with 800 wins, joining Blackhawks coach Joel Quenneville (868) and Scotty Bowman (1,244).
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Quenneville took a minute to congratulate Hitchcock after the game.
"Congratulations from Joel means more than anything because we came together and we've had so much mutual respect for each other and helped each other along the way when we were both kind of in the down and outs," Hitchcock said. "I think coming from him it means more than the number, so it's pretty special."
Hitchcock, who turned 66 on Sunday, has an NHL record of 800-488-114 with 88 ties with the Stars, Philadelphia Flyers, Columbus Blue Jackets and St. Louis Blues. He has 296 victories in two stints with Dallas.
"It's great he's coached so many games," Stars forward Antoine Roussel said. "You want to do good for him and you want to pick up as many things as you can from him, and the details and the preparation from the game make us better. Sometimes [it's] hard, and at the end of day it's real good for us."
Ben Bishop made 24 saves, and Tyler Seguin scored twice for Dallas (19-14-3), which ended a three-game losing streak.