Kesler popped a snap shot past Islanders netminder Kevin Poulin after Roberto Luongo had stopped John Tavares in the shootout, giving the win to Vancouver, which improved to 14-0-3 in its last 17 games.
The Islanders got a goal and an assist from Blake Comeau as well as goals from Jack Hillen and Tavares.
Poulin stopped 48 shots for New York.
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