The Rangers controlled play in the second period, scoring twice on the power play and outshooting the Islanders 17-6.
Kreider scored 22 seconds into the period, finishing an end-to-end rush by redirecting Artemi Panarin's cross-ice pass near the left post to make it 2-1.
Kreider was less than an inch from scoring his second power-play goal of the period with a net-front redirection at 12:06, but a video review initiated by The Situation Room determined the puck did not completely cross the goal line.
However, Trocheck scored on the same power play to extend the Rangers lead to 3-1 at 13:47. Varlamov made the initial save on Panarin's one-timer, but Islanders defenseman Scott Mayfield knocked the puck out of his glove, and Trocheck scored with a backhand.
"I don't think it's a personnel thing," Trocheck said. "I truly believe in this group a lot. I know what kind of team we have, and I know what we're capable of. It's just a matter of putting together a full 60-minute game. It's just a mental thing for us right now. We've got to get over that hump. We're in a little bit of a rut. It's a confidence thing for us."
NOTES: Islanders forward Cal Clutterbuck did not play because of an undisclosed injury he sustained Monday. He was considered a game-time decision, Lambert said. … Nikita Soshnikov replaced Clutterbuck in the lineup and had two shots and two hits in 8:17 of ice time. … Kreider extended his point streak to six games (three goals, four assists), tying his NHL career long. … Chytil's goal was the Rangers' first against Varlamov at the Garden since Jan. 13, 2020 (251:36). He came into the game with four straight shutout wins at the arena.