BOSTON — Nikolay Kulemin scored two of New York’s three second-period goals, Thomas Greiss made 32 saves for his first shutout this season and the Islanders beat the Boston Bruins 4-0 on Monday.

Josh Bailey and Jason Chimera also scored for the Islanders, who have lost 13 of 19 road games this season (6-9-4), but defeated the Bruins twice in the TD Garden.

Chimera has scored in three consecutive games for New York, which entered the game with the fewest points in the Eastern Conference.

Boston starting goaltender Tuukka Rask was pulled after two periods. He gave up three goals on 15 shots. Backup Zane McIntyre gave up the other goal.

The Bruins lost at home against one of the league’s worst teams for the third time this season. On Dec. 8, Colorado came in with the league’s poorest record and beat Boston. The Islanders were also last in the East when they won 4-2 on Dec. 20.

After a scoreless and penalty-free opening period, the Islanders moved ahead 1-0 at 13:18 of the second. Kulemin took Casey Cizikas’ pass in front of the net and slipped a wrist shot past Rask.

They made it 2-0 less than 2 minutes later when Bailey took a seemingly harmless shot from the bottom of the right circle and the puck slipped between Rask’s left pad and the post. It snapped a 14-game goal-less stretch for the winger.

New York increased the lead to 3-0 late in the period. Rask stopped Cizikas on a clean breakaway, but the center collected his rebound and passed it to Kulemin, who fired a wrister past Rask at 18:38.

The Bruins left the ice to a smattering of boos after the second period. After pulling Rask, Boston barely mustered any threat to score.

Chimera scored an unassisted short-handed goal on a breakaway.

Boston’s Brad Marchand hit the left post with a backhand a few seconds before Kulemin’s first goal.

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