Kevin Lankinen made 26 saves, and Tommy Novak scored for the Predators (32-24-7), who had lost two straight. Matt Duchene scored the only goal in the shootout.
"Guys did a good job," Duchene said. "That's a team with some guys that have won Cups, and a team that's been really hot lately. So that's a great win, obviously. [It seems like] we almost have a guy playing his first NHL game every night right now, and the guys are coming in and pulling their weight, doing the job."
Nashville remained six points behind the Winnipeg Jets for the second wild card into the Stanley Cup Playoffs from the Western Conference. The Predators have played three fewer games.
"I thought in general it was a good hockey game," Nashville coach John Hynes said. "I thought both teams competed really hard. They had some good lucks, and our goaltender made some big saves. I thought we had some good looks at times, and their guys made some big saves. I thought in general it was a hard-fought battle, and glad that we were able to come out on top."