Brendan Gallagher added an empty-net goal at 18:08 for the 5-2 final.
"We're making a lot of mature plays [in the third period]," Suzuki said. "Keeping it simple, not making anything too risky and taking advantage when we get those chances."
Lightning forward Jake Guentzel was a late scratch and is day-to-day with an upper-body injury.
"They played well defensively and they're a good team, they showed in Florida what they can do," Lightning captain Victor Hedman said. "We just have to learn from it and stop turning pucks over. We have some days here to get ready for a big road trip out west. Giving up five is unacceptable and we have to do a better job of helping out our goaltenders."
NOTES: Armia has points in five of the past six games (three goals, three assists). ... Hagel has nine points (four goals, five assists) over the past seven games. ... Kucherov has goals in three straight games. … Montreal's last win at Amalie Arena was April 2, 2022, a 5-4 shootout win.