Tkachuk tied it 1-1 at 15:48 on a redirection from Brandon Montour at the edge of the crease.
"I think everyone can see it," Montour said. "At 5-on-5, we're the better team."
Balcers gave the Panthers a 2-1 lead at 15:37 of the second period when he took control of a loose puck in front and backhanded it past Vasilevskiy.
"A lot of good things we can build off in our game," Florida coach Paul Maurice said. "Both teams found their way to the box. We needed more discipline, but we have to play with energy. We're still learning how to do that."
Point tied it 2-2 at 9:29 of the third period on a redirection from Kucherov in front of the net.
"It was a typical Tampa-Florida game," Lightning coach Jon Cooper said. "It had everything, but our special teams were big tonight. I think that was the difference. I just liked our fight in the third."
NOTES: Tkachuk, who was acquired in a trade with the Calgary Flames on July 22, is the first player in Panthers history to get a point in each of their first five games to start a season. He leads Florida with eight points (three goals, five assists). … Seven of the Lightning's 14 goals this season have been scored on the power play. … Florida has failed to convert its past 12 power-play opportunities and is 2-for-23. … Montour, who missed the previous two games with an upper-body injury, had two assists in 23:18 of ice time.