"I like the way we played tonight," New York forward Jordan Eberle said. "We grinded and battled for the most part and got back to our identity. That's the identity you want to stick with."
The Islanders (32-17-6) are in fourth place in the East and moved within one point of the Boston Bruins, who lost 5-4 to the New York Rangers on Saturday. The Islanders can move into third when they play their regular-season finale at Boston on Monday. The Bruins have a game in hand.
The Pittsburgh Penguins and Washington Capitals clinched first and second place on Saturday.
"This division is very capable of a 4-seed beating a 1-seed or a 3-seed beating a 2-seed," Islanders coach Barry Trotz said. "You don't know. You want to play well, get as high as you can. … You want to feel good. You want to be healthy and you want to be playing a decent game going into the playoffs."
Mathew Barzal had a goal and an assist, and Kyle Palmieri scored his first goal in 13 games for the Islanders (32-17-6), who ended a three-game skid. Ilya Sorokin made 23 saves.
Andreas Johnsson scored, and Mackenzie Blackwood made 22 saves for the Devils (19-29-7), who won their previous two games and five of seven.
"They just played way harder," Johnsson said. "Heavy forecheck. I don't know how many pucks we passed away. ... Not a good game at all."
It was the last scheduled regular season game at Nassau Coliseum, which has been the Islanders home for 1,738 games since 1972. They're expected to move into UBS Arena in Elmont, New York, next season.
"We mentioned it, we talked about it," Eberle said. "We wanted to obviously finish off in the win column. This building has a lot of history behind it, a lot of teams, some Cups won here."