Simon Holmstrom scored twice, and Ilya Sorokin made 28 saves for the Islanders (4-3-1), who have alternated wins and losses through their first eight games.
New York played most of the game without forwards Calum Ritchie and Matias Maccelli, who were each injured in the first period. Ritchie left after just one shift with a lower-body injury, and Maccelli exited at 16:36 after falling awkwardly on his left knee when he was tripped by Darren Raddysh. Maccelli put minimal weight on his leg as he was helped off the ice by two teammates.
Coach Peter DeBoer had no further update on either player after the game.
“That was probably our most complete game of the year and our smartest game of the year,” DeBoer said. “I told the group, after the second period I thought we managed the game really well.”
Sergei Bobrovsky made 16 saves for the Maple Leafs (3-4-2), who are 1-2-2 in their past five games.
Toronto was without forward John Tavares, who is week to week with a lower-body injury he sustained in a 5-4 overtime loss to the Buffalo Sabres on Thursday.
“Get on the inside and throw some pucks there,” Toronto coach Jim Hiller said. “They played a good game, it didn’t surprise us at all. In a game like that, with Sorokin in goal and some big strong defensemen, you have got to get inside and you’ve got to get some pucks around there and try to create some chaos. We did it two or three times, one was a goal, one was a really good chance on a deflection from Darren Raddysh, and after that we just didn’t do it. We just didn’t do it enough. You are not going to score on the perimeter with this team.”
Anthony Duclair put the Islanders ahead 1-0 at 8:18 of the first period. He took a backhand pass from Jean-Gabriel Pageau, who was along the right boards, stepped to his left on Nick Paul in the slot, and beat Bobrovsky low to the glove side.