Matt Martin and Milan Jurcina also scored while David Ullstrom added his first NHL goal for the Islanders, who improved to 4-0-1 in their last five games.
Al Montoya turned aside 23-of-24 shots for New York.
Martin St. Louis got the only goal for Tampa Bay, which equaled a season-high five-game losing streak.
Mathieu Garon stopped 29-of-35 shots for the Lightning.
Swim Week Miami Beach 2014 [PHOTOS]