Tampa Bay (19-6-2) saw a 2-0 lead disappear on a quick pair of Islanders goals in the second period, but answered in a big way.
Yanni Gourde scored twice in 94 seconds -- first a power-play goal with 3:38 left in the second, then an even-strength goal with 2:04 left -- for a 4-2 lead, and Vladislav Namestnikov added another goal four seconds into the next power play with 1:14 left in the period.
New York (16-9-2) rallied back from a 2-0 deficit with two goals in less than two minutes. Rookie Mathew Barzal scored on his seventh goal of the season on the power play with 12:53 left, and had the assist on Jordan Eberle's 11th goal of the season with 11:02 remaining to tie the game.
Tampa Bay jumped out to a 2-0 lead in a dominant first period, outshooting the Islanders 11-2. Brayden Point scored 34 seconds into the game for his 10th goal, and defenseman Andrej Sustr scored with 2:13 left in the first on his second goal of the season.
Chris Kunitz added a goal in the third period off a steal and breakaway for his fourth goal of the season, with 14 minutes remaining.
Islanders goalie Thomas Greiss gave up six goals on 32 shots, while Tampa Bay's Andrei Vasilevskiy (29 saves) picked up his NHL-high 18th win.
Gourde recorded his seventh and eighth goals of the season and has four goals in two games against the Islanders, compared to four in 26 games against everyone else. The Lightning, who have the league's top power play, have power-play goals in seven straight games, going 4-for-8 in the last three.
New York, which had picked up a shootout win at Florida on Monday night, missed a chance for their second back-to-back sweep in seven chances this season.
Tampa Bay passed the Islanders for the league in goals with 100, one ahead of New York.
NOTES: Lightning D Braydon Coburn missed a second straight game with a lower-body injury, with RW J.T. Brown and D Jamie McBain as healthy scratches. ... The Islanders had D Dennis Seidenberg and D Thomas Hickey as healthy scratches. ... The Lightning continue a four-game homestand on Thursday against the Colorado Avalanche, while the Islanders continue a four-game road trip on Thursday at the Pittsburgh Penguins.