It was the first game between the teams since the playoff matchup, when Toronto won all three overtime games in that series.
"We're obviously frustrated," Lightning coach Jon Cooper said. "I've watched that movie before against these games. It's disappointing the way the players handled the third period, at least the last half of the third period, and overtime. We're much better than that."
Matthew Knies scored his first two NHL regular-season goals in the third period and had an assist for Toronto (3-2-0), which won for the first time in three games. Joseph Woll saved all 29 shots he faced after replacing Ilya Samsonov at 13:29 of the first period.
Samsonov allowed three goals on four shots.
"We stayed with it and I was happy to see our guys get rewarded," Maple Leafs coach Sheldon Keefe said. "Even in the first period I thought we played a good period. With their goalie playing the way that he was and Tampa playing as hard as they were you thought maybe time was going to run out for us, but it was nice to see the guys get rewarded."
Nikita Kucherov had two goals and an assist, and Johansson made 48 saves for the Lightning (2-2-2).
"Give Toronto a ton of credit, they did what you have to do to win hockey games," Cooper said. "They played the whole 60 minutes plus, and we didn't. And we left it on our goalie’s shoulders to bring it home, and that's so unfair.”