Ottawa then regained the lead when Tim Stützle scored on a penalty shot.
The Canadiens were still down by one goal after 40 minutes.
The Senators cushioned their lead with a goal from Claude Giroux in the third period.
Near the halfway mark, Josh Anderson surprised Forsberg to make it 4-3. David Savard and Juraj Slafkovsky assisted on the goal.
Unfortunately, the Canadiens couldn't complete the comeback.
A friendly shootout took place after the game for fans to enjoy.
The team will look to wrap up their exhibition schedule on a high note when they face the Senators in Bouctouche, New Brunswick, as part of the Kraft Hockeyville tour.