Armia gave Montreal a 1-0 lead at 1:27 of the first period when he finished off a 2-on-1 rush with a wrist shot from the slot.
"We've been very competitive here for a while, and it's everybody," Canadiens coach Martin St. Louis said. "You can't have any passengers. [Armia] has been playing great. It's nice for him to get rewarded, but there's a lot of other things on the ice that he does that don't end up on the score sheet."
Evans extended it to 2-0 at 14:34 when he tipped the puck past Vasilevskiy from the low slot off a pass by Brendan Gallagher.
Point cut it to 2-1 at 7:44 of the second period off a pass from Steven Stamkos. He extended his point streak to nine games (seven goals, four assists).
"They came out hot and got a 2-0 lead, but we were a better team in the second and we were about to battle back," Hedman said. "We didn't have the lead, but two points is the most important thing in a game like this. We'll take them any way we can this time of year."
Cirelli tied it 2-2 at 15:49 with a shot from the bottom of the right circle off a backdoor pass from Brandon Hagel.
Josh Anderson gave the Canadiens a 3-2 lead at 6:23 with a redirection off an initial shot from the point by Cole Caufield.
"I thought we took it to them in the first; we played how we wanted to,” Caufield said. "We know they're going to get their chances and their looks. Our overall game is pretty good right now and we've just got to do a better job of finishing it off in the third."
NOTES: Point’s goal was his 250th in the NHL. ...Montreal has a League-high 35 games decided by one goal (15-11-9). ... Hagel’s assist gave him his second consecutive 60-point season (22 goals, 38 assists). ... Lightning forward Nikita Kucherov had the secondary assist on Point's goal and has 11 points (two goals, nine assists) during a six-point point streak.