Ross Colton and Erik Cernak scored for the Lightning (28-11-2), who have won two in a row after losing five of their previous seven. Forward Steven Stamkos did not play because of a lower-body injury.
Tampa Bay is 6-1-0 against Nashville this season.
Pekka Rinne made 31 saves for the Predators (22-19-1), who had won three in a row and lost for just the third time in 14 games. Defenseman Ryan Ellis had two shots and two hits in 19:43 in his return after missing the previous 20 games because of an upper-body injury.
"I felt better than expected," Ellis said. "The team as a whole, it's like night and day. I feel when I get hurt, every night was a battle and we were working and nothing was happening for us. Tonight, it felt like years past where we were buzzing in the [offensive] zone, making good plays, getting chances. Obviously, we didn't connect on any, but I think we had three breakaways, a couple of 2-on-1s."
Colton gave the Lightning a 1-0 lead at 6:45 of the first period. Gourde received a stretch pass from Mikhail Sergachev before spinning and finding Colton, who faked a forehand shot and slid the puck five-hole on his backhand.
"The first period was the least amount of scoring chances they had," Tampa Bay coach Jon Cooper said. "It looks bad because of the shots if you're looking at those stats, but [Vasilevskiy] could see them and I think that was the big thing for us. What I didn't like was just the fact that we were spending so much time in our [defensive] zone. We kind of figured out what we had to do there in the second and third. It got better for us."