Jonathan Quick stopped 20 shots for the Kings, who have dropped two in a row. They fell to 5-1-3 on their 10-game road trip, which concludes Wednesday at Anaheim.
Nielsen got the Islanders on the board with a shorthanded goal, only five minutes into the game. New York forward Michael Grabner picked off a slow pass in his own zone and got the puck into the neutral zone.
He then managed to pass to Nielsen, who skated into the slot and blasted a shot through LA defenseman Jack Johnson and Quick.
Moulson's wrister from the right circle at the 6:54 mark of the second period gave the Islanders a 2-0 lead.
Montoya's big middle-period performance made the lead stick, and Moulson essentially secured the win with 6:20 to play in the third, when he wheeled around in the slot and whipped a shot in net.
P.A. Parenteau and John Tavares both had two assists for New York.
(Sports Network) - The Los Angeles Kings will be attempting to set a franchise record for points in consecutive games when they take the ice tonight. Judging by their recent history against the New York Islanders, the team seems to stand a good chance of breaking that mark.
The Kings head to Nassau Coliseum with an 8-0-3 record over their last 11 outings, matching a club-best points streak initially set from Feb. 28-Mar. 24, 1974, when Los Angeles racked up nine wins and two ties. The surge has vaulted the Kings back into the thick of the Western Conference playoff race, where the team sits only three points off Phoenix's lead atop the tightly- bunched Pacific Division despite being tied for last place.
Los Angeles was unable to obtain a fourth straight victory in Thursday's clash with the New York Rangers, however, coming out on the short end of a 4-3 decision that was decided by a shootout.
The Kings will try to improve their place in the standings when they take on an Islanders squad they've owned in past years. Los Angeles has defeated the Isles six straight times, with three of those wins taking place in Long Island, and New York hasn't prevailed in this series since a 3-2 road triumph on Feb. 15, 2003.
Los Angeles cruised to a 5-1 rout of the Islanders at Staples Center back in November, with Kopitar potting a pair of goals and the Kings owning a 34-19 advantage in shots.
The Islanders have been considerably more competitive as of late, however. New York has compiled a 6-3-0 record so far in February and put together a season- best four-game win streak during the month, although its most recent result wasn't a positive one.
In Thursday's home matchup with Northeast Division leader Boston, the Islanders were faced with a four-goal deficit early in the second period en route to a 6-3 setback. The Bruins scored three unanswered times in the first period and owned a commanding 4-0 advantage after David Krejci lit the lamp less than a minute into the second session.
"When you get down three goals against the Boston Bruins, you're chances of coming back are not very good," said Islanders center John Tavares. "We came out slow, we didn't play our game and we weren't moving our feet. If we keep that mentality with all the shots we had in the last two periods, we're going to keep scoring goals. We just have to be better in our own zone."
Tavares did net his 23rd and 24th goals of the season in the loss, but teammate Michael Grabner had a six-game goal-scoring tear end on Thursday. The rookie forward had amassed 10 goals and 13 points over that outstanding stretch.
Nathan Lawson started in goal for the Islanders, but was pulled early in the second period after surrendering five goals on only 18 shots.