Rookie Jordie Benn got his first NHL goal and Cody Eakin also scored for Dallas, which won its second straight game following a 1-4-1 stretch in which they were outscored 23-10. Jamie Benn added three assists.
The Stars moving up from 10th place to eighth in the Western Conference, jumping ahead of San Jose and Columbus for the conference's final playoff position.
Kari Lehtonen, making his 11th straight start, stopped 33 shots two nights after getting 40 saves in a 2-0 win at Los Angeles.
Paul Stastny had a goal and an assist, and P.A. Parenteau also scored for Colorado.
You know what? We've played in some pretty special buildings along this playoff run so far. You start in Detroit, you go to Montreal, you come here … I think it's the first team to beat three Original Six teams to get to the Final if I'm not mistaken. That says how tough the road has been. Those are tough places to win.
— Lightning forward Steven Stamkos after Game 7 win vs. Rangers on Friday in New York