John Tavares and Matt Moulson each picked up 1, at Nassau Coliseum.
Matt Martin, and Milan Jurcina also tallied for the Islanders, who have reeled off four wins in their last five games.
David Ullstrom notched his first NHL goal and Al Montoya stopped 23 shots for New York, which was coming off a 3-0-1 road trip.
Martin St. Louis had the lone score for the Lightning, who tied a season high with their fifth straight defeat. Mathieu Garon allowed all five goals on 34 shots in the setback.