Devan Dubnyk notched the victory with 41 saves.
Nashville got two goals from David Legwand. Patric Hornqvist contributed a goal and an assist in the Predators' return home following a 2-1 road trip.
Nashville was seeking to bypass idle Detroit for the fourth seed in the Western Conference, but instead remained tied with the Red Wings in the race for home-ice advantage in the post-season.
Pekka Rinne started in net for the Predators but was pulled after yielding three goals on just seven shots.
Anders Lindback took over, turning aside 10-of-12 shots the rest of the way.