UNIONDALE, N.Y. -- Josh Bailey and Anthony Beauvillier each had a goal and an assist to help the New York Islanders to a 4-1 win against the Winnipeg Jets at Nassau Coliseum on Sunday.
Brock Nelson and Anders Lee also scored during a three-goal second period for New York, which won for the first time this season. Thomas Greiss made 35 saves, including 15 in the first period.
"That's the way we need to play; that's kind of our identity right there," Bailey said. "We were playing hard all over the ice, tight defensively, but we were still creating a lot and found a way to hit the back of the net a couple of times too."
[WATCH: All Jets vs. Islanders highlights]
Patrik Laine scored, and Laurent Brossoit made 29 saves for Winnipeg, which has lost two of three on a season-opening four-game road trip.
Brossoit made a glove save on Leo Komarov's shorthanded breakaway at 13:10 of the first period and then back-to-back pad saves against Nelson on a breakaway during a Jets power play at 11:15 of the second.
"Sadly, he was fantastic," Winnipeg coach Paul Maurice said Brossoit, who made his second straight start. "I mean, the number, when you play as well as he played, you deserve a better number and he should be sitting the locker room having a good feeling right now. But boy, he's been like that right from the start of [training] camp. He's just been right-on for us.
"We got in trouble there in the second period, obviously. He was composed, made some great saves and gave us a chance to hang around a little bit."
Bailey gave the Islanders a 1-0 lead at 1:51 of the second period when he redirected Beauvillier's pass from the right circle for New York's first power-play goal of the season.
Nelson made it 2-0 when he took a pass from Bailey and put a wrist shot past Brossoit at 4:38 of the second.
Video: WPG@NYI: Nelson goes top shelf to double lead
Lee scored his first of the season at 15:55 of the second on a redirection of Scott Mayfield's shot from the point to make it 3-0.
"It's good to score early. You get that ball rolling in the right direction, I think we kind of fed off that and led to two more," Bailey said. "All in all, that's what we expect and the way we need to play. Obviously, it's not going to be like that all the time, but I think that's something that we're striving for."
Laine made it 3-1 with a wrist shot from the right circle at 17:06 of the second period.
New York, which had 10 players with at least one point, outshot Winnipeg 19-9 in the second period.
"We were a little slow out of the box," Islanders coach Barry Trotz said. "Obviously the power-play goal got us going, but I thought the whole second period, we were good. We were playing fast, we were making good line changes. We could have really pulled away in the second. We had some really good looks."
Beauvillier restored New York's three-goal lead at 1:25 of the third when he backhanded a rebound past Brossoit for the 4-1 final.
Video: WPG@NYI: Beauvillier jams home backhander in tight
Jets captain Blake Wheeler said spirits were high after Laine's goal, especially after Winnipeg rallied from four goals down to defeat the New Jersey Devils in a shootout on Friday.
"Good vibe on the bench, good vibe in the room after two [periods]," Wheeler said. "Obviously, popping one late there in the second gives you the momentum again, kind of similar to the Jersey game. If one of those goes in, you don't know what can happen.
"But ultimately, you play from behind by three-plus goals every game, you're going to put yourself in a tough spot."
They said it
"Great opening road period. It would have been nice to pop one there, maybe get a lead and get them on their heels a little bit. We had a bad couple of minutes there in the second, and it just kind of snowballed a little bit from there. [Brossoit] just had an outstanding game, made some huge saves there in the middle frame to give us a chance. We just couldn't do enough." -- Jets captain Blake Wheeler
"We were a little more crisp tonight, a little more predictable with each other. When that happens, you get an extra step on a guy, you create a little bit more offense. Just working out our kinks from Game 1 (a 2-1 loss to the Washington Capitals on Friday), I think we played a lot stronger tonight and just an overall better game, obviously." -- Islanders captain Anders Lee
Need to know
The Jets played without defenseman Josh Morrissey, who sustained an upper-body injury during warm-ups. Maurice said it was precautionary and Morrissey is day to day. He was replaced by defenseman Carl Dahlstrom. … Trotz coached his 1,608th NHL game and passed former Islanders coach Al Arbour for third-most on the all-time list. Trotz is 811-596-141 with 60 ties.
Jets: At the Pittsburgh Penguins on Tuesday (7 p.m. ET; ATTSN-PT, TSN3, NHL.TV)
Islanders: Host the Edmonton Oilers on Tuesday (Nassau Coliseum; 7 p.m. ET; MSG+, SNOL, NHL.TV)
Video: Islanders ride big 2nd to 4-1 win against Jets