"We're keeping our game simple and we're playing to our strengths, that's creating chances for us and it's turning into success for our line," Cizikas said. "The way we're playing and the way we're jelling right now, it's a good feeling and definitely something to build off."
Varlamov made 24 saves in a 4-0 win at the Garden on Jan. 14, the season opener for each team, giving him 54 saves in back-to-back shutouts against the Rangers after he allowed 13 goals on 91 shots (.857 save percentage) in three games against them last season.
Jaroslav Halak is the only other goalie in Islanders history to have two shutouts against the Rangers in the regular season (Jan. 13, 2015, and Feb. 15, 2018). Billy Smith had one in the regular season (Dec. 17, 1975) and one in the Stanley Cup Playoffs (April 15, 1983).
The Islanders (5-4-2) have won two in a row and are on a four-game point streak (2-0-2).
"We're collecting points and it's all that matters at this point," Varlamov said. "I'm excited we won today. Huge win for us. That was a big win."
Igor Shesterkin made 28 saves for the Rangers (4-5-2), who were 3-0-1 in their previous four games.
"I didn't think we played fast enough offensively; I thought we really allowed them to stay in their structure, which they're very good at," Rangers coach David Quinn said. "It's 0-0 going into the third, and I thought we had some great chances in the third period before they made it 1-0, we just couldn't capitalize."