The Penguins used three first-period goals to take down the Lightning 4-2 in Pittsburgh.
Phil Kessel and Kris Letang each picked up a goal and an assist in the win.
Letang tied Hall of Famer Paul Coffey's franchise record for career goals by a defenceman.
Riley Sheahan and Sidney Crosby also scored for Pittsburgh.
Matt Murray stopped 33 of 35 shots for the NHL's Penguins, who snapped a two-game slide.
J.T. Miller and Steven Stamkos each added a goal late in the third for Tampa Bay.
Andrei Vasilevskiy allowed four goals on 22 shots for the Lightning, who have lost three of their last five.