Henrik Lundqvist stopped 19-of-20 shots for New York.
The Lightning's Mathieu Garon, meanwhile, was pulled from net in the second period after yielding three goals on 19 shots.
Anders Lindback was touched for a pair of scores on 13 shots in relief as the streaky Bolts fell for the fourth straight time following five consecutive wins.
Vincent Lecavalier tallied for Tampa Bay.
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