Dallas outshot Nashville 13-4 in the second period.
"I've been saying this all year, that timely goal, that timely save, that's how close it is," Stars coach Rick Bowness said. "We're in every game other than a couple, and at some point in the game you need that goal to give you a boost and you need that save to give you a boost, and we got both tonight. That's probably one of the better games we've played all year."
Benn ended an eight-game goal drought at 1:41 of the third period on a redirection on the power play to make it 3-1. Miro Heiskanen scored an empty-net goal at 17:51 for the 4-1 final.
"It was a tough, physical game tonight," Hynes said. "I think you credit Dallas. They were the better team for lots of parts of the game and we weren't at the level that we needed to be at tonight to have success."
NOTES: Predators center Ryan Johansen was limited to 14:00 of ice time because of an undisclosed injury, and defenseman Alexandre Carrier (undisclosed) left the game in the second period. Hynes did not have an update on either player. … Stars defenseman Joel Hanley left in the first period because of a lower-body injury. Bowness said they won't know the severity "until it settles down." … The Stars were 1-for-2 on the power play and are 11-for-20 against the Predators this season.