Acquired from Florida on Jan. 7, Boyle took a pass from Brad Richards in the slot and one-timed it over goaltender Roberto Luongo's right shoulder.
Richards and Jimmie Olvestad also scored and Nikolai Khabibulin made 24 saves for Tampa Bay, which improved to 2
Marcus Nilson and Valeri Bure had the goals for Florida, which has lost six straight.
For the third consecutive game, the Panthers carried a lead into the final period. They have just one victory in the last 13 games (1-9-2-1).