The Lightning are 6-0-0 against the East, including 3-0-0 against Atlantic Division teams.
"It's a good team over there," Stamkos said. "They're fast, they're tenacious, so I thought we had a really good road game."
Stamkos tied it at 1-1 with his third goal of the season, a one-timer from the left side on a pass from Nikita Kucherov at 13:42 of the first period.
Miller made it 2-1 at 16:24 of the second. He scored his fourth of the season on a wrist shot from the slot after Stralman knocked down Montreal forward Charles Hudon's flip pass inside the blue line.
Stamkos scored his second goal of the game 52 seconds into the third period when he took a pass from Kucherov and beat Price with a wrist shot to the top right corner to make it 3-1.
"It's a one-goal game up until that point so that next goal is obviously huge," Stamkos said. "I thought that sucked a little momentum out of them and to be honest gave us some. You know, the guys went out there the next shift, had a great shift in their end. So I thought we did a great job of not sitting back tonight. We kept pressuring and that's when we're at our best."