Auston Matthews and Max Pacioretty scored in the third period for the Maple Leafs, who are the No. 1 seed from the Atlantic Division.
Toronto had allowed 13 goals in the previous three games of the series (all losses).
“There is always pressure,” Maple Leafs coach Craig Berube said. “We came out and skated, were on our toes, played our game. We played a simple game tonight and were determined. That stands out to me more than anything. … We were doing all the little things right.”
Sergei Bobrovsky made 15 saves for the Panthers, who are the No. 3 seed from the Atlantic.
Florida finished the game with 81 shot attempts, 31 of which were blocked by Toronto.
“We didn’t get the puck there early enough, but we launched it a bunch of times,” Panthers coach Paul Maurice said. “I thought we were late with the puck. … There’s not much offense, and these are two pretty good offensive teams, yet there was not much to be had out there. They played hard, we played hard, and it was tight.”