After retrieving a dump-in, Stastny scored with a backhand on his own rebound at the left post at 10:47 of the first period to give the Jets a 2-0 lead. Following the goal, Predators goaltender Pekka Rinne was pulled for Juuse Saros.
Stastny scored his second at 11:59 of the third period on the power play, beating Saros five-hole from in front on a rebound to make it 4-1.
"I'm comfortable in these games," said Stastny, who has eight points (four goals, four assists) in four career Game 7's. "I'd rather have it on my stick because maybe some of the guys who are younger in this situation just get a little nervous. But I think after a couple of shifts, our line, whether it was myself or [Laine] or [Nikolaj] Ehlers, it was just off, missing by half and inch and a matter of us squeezing too tight.
"What happens in games like these, sometimes you try to move the puck too quick and then you think you have less time than you actually do. As you get later in your career, you've just got to enjoy these moments. You're going to have some guys that get nervous out there and that's fine. It's our job, older guys, veteran guys, to go out there and try to be loose and try to make everyone comfortable."
The Jets continue to rave about Stastny's contributions both on and off the ice.