The Sabres scored two off the sticks of Josh Passolt and Nolan Burke to tie the game.
Buffalo got off to a strong start in the second, grabbing the lead with a goal from Tyson Kozak.
Kozak notched his second of the night in the third frame, doubling their lead to 4-2.
The Habs' pressure in the Sabres zone paid off when Owen Beck sent a wrister past Suchanek to make it 4-3, but the team fell short of a comeback.