Nino Niederreiter and Jordan Staal scored 25 seconds apart in the second period for the Hurricanes (30-10-5), who lost 3-2 in overtime here Monday and are 3-0-1 in their past four games.
"That was a 60-minute effort all the way through," Carolina coach Rod Brind'Amour said. "We were just a little more invested in this game, probably they weren't. It was probably a reversal [from Monday]."
Brayden Point scored for the Lightning (30-14-2), who are 3-3-0 in their past six. Andrei Vasilevskiy made 32 saves.
"We gave up too much," Point said. "'Vasy' made some great saves. It's [defensive] zone stuff. If you're giving up four a night, it's tough to win games. Lots to clean up in the D-zone."
The Hurricanes are tied with the Florida Panthers for first place in the eight-team Discover Central Division, three points ahead of the Lightning, who are in third, 11 points ahead of the fourth-place Nashville Predators. The top four teams will qualify for the Stanley Cup Playoffs.
"All these games now, they mean a lot," Nedeljkovic said. "We're poised here to make a deep run, and games like this are only going to push us in the right direction. We'll most likely have to go through these guys one way or another come playoff time, so any time you can kind of beat 'em a little bit and at least I think we evened up the series with them for the year (each team is 4-3-1)."
Tampa Bay coach Jon Cooper said, "We split against Florida (3-2 overtime win Thursday, 5-3 loss Saturday), we split against Carolina, and unfortunately we gave them points in the two that we won. We got a good look at two teams that lead the division and we know we can play with. We've just got to be more consistent."