Huberdeau, who has 420 points (143 goals, 277 assists) in 512 games, set the record with an assist on Mike Hoffman's power-play goal at 4:33 of the third period.
"It's cool," Huberdeau said. "Another great night. Couldn't ask for better. Overall, the team played really good, big win. We knew we needed it tonight and on top of that history, it's pretty cool and I'm going try to enjoy that tonight."
WATCH: [All Maple Leafs vs. Panthers highlights]
Aleksander Barkov and Vincent Trocheck each had a goal and two assists for the Panthers (24-16-5), who have won consecutive games after alternating wins and losses their previous seven games.
Chris Driedger made 43 saves starting in place of Sergei Bobrovsky, who sustained an upper-body injury in practice Saturday.
"I thought he did very well," Panthers coach Joel Quenneville said. "He had a great start to the game and then all of a sudden it's a 7-4 game in the third and he did what he had to do to get the win. He did a fine job with a lot of shots. They test you almost every single shift with something at the net and traffic. He did what he had to do."
Mitchell Marner scored two goals, and Zach Hyman had a goal and two assists for the Maple Leafs (24-16-6), who are 0-2-1 in their past three games following a 10-game point streak (9-0-1). Frederik Andersen allowed four goals on 12 shots before being replaced in the second period by Michael Hutchinson, who made 13 saves.