Jonas Johansson made 29 saves for the Lightning (12-8-2), who had lost three of four.
“It was a big win for us, obviously,” Tampa Bay coach Jon Cooper said. “Special teams was a factor. We get the short-handed goal that kind of gets us going and then the power-play goal at the end.”
Roman Josi scored twice for the Predators (7-12-5), who lost their third in a row and are 2-3-4 in their past nine. Juuse Saros made 25 saves.
“We had a really good effort last game, and we didn’t necessarily see the results,” Nashville forward Steven Stamkos said of the 3-2 overtime loss to the Philadelphia Flyers on Wednesday. “And then I thought tonight was just, it was just average. That was a game that was winnable for us. I don’t even know what to say right now to be honest.”
Josi gave the Predators a 1-0 lead at 1:23 of the first period on a wrist shot from the point after a face-off win by Stamkos.
Anthony Cirelli tied it 1-1 with a short-handed goal at 4:06 of the second period on a 2-on-0. Glendening started the play after Josi lost the puck to him near the Tampa Bay blue line, feeding Cirelli on the rush. Cirelli didn’t hit his initial shot squarely from the left of the net but was able to redirect it out of midair.