Crosby had a bit of good fortunate when scored again at 7:15 to make it 2-0. He was credited with the goal when Lindback kicked the puck into the net with the back of his right skate during a scramble in front of the net.
The Penguins made it a three-goal game with 34 seconds left in the first period as Martin scored his third goal on a wrist shot from the slot on a pretty pass from Matt Cooke.
The Lightning closed to 3-2 with a pair of goals early in the second period.
Brewer tipped in a Stamkos rebound at 1:37 for his fourth goal. Stamkos then scored on a five-on-three power play, blasting a slap shot from the left point at 3:14.
However, Pittsburgh restored its two-goal advantage at 12:20 when Bennett scored his first NHL goal. With the Penguins having a two-man advantage, Bennett reached the back of the net on a wrist shot that made it 4-2.
Tampa Bay sliced the lead to a goal again at 3:15 of the third period when Conacher scored his seventh goal.
The Lightning pulled their goal in the final moments but Cooke scored an empty-net goal for the Penguins with 52 seconds left, his third, to seal the victory.
NOTES: Crosby, the Penguins captain, said the hit by the Panthers' Eric Gudbranson that caused Malkin to crash into the boards and be injured on Friday night was clean and there would be no retaliation when the teams meet again on Tuesday night at Florida. ... Tampa Bay defenseman Keith Aulie returned to action after missing the previous two games with a stomach virus that caused him to lose 10 pounds. ... Pittsburgh center Joe Vitale threw Tampa Bay right wing Adam Hall to the ice during a fight with 29 seconds left in the first period. It drew five-minute major penalties for both combatants. ... Left wing Pierre-Cedric Labrie and defensemen Brian Lee and Brendan Mikkelson were healthy scratches for the Lightning. ... In addition to Malkin, left wing Zach Boychuk and defenseman Robert Bortuzzo were scratched by Pittsburgh, though both were healthy.