Chara, the Bruins captain, will become the third player born outside of North America to reach the milestone, joining Jaromir Jagr (1,733 games) and Nicklas Lidstrom (1,564).
Boston, which is coming off a 6-4 victory against the Pittsburgh Penguins on Monday, has outscored its opponents 30-13 during its winning streak and is 8-0-2 in its past 10 games.
Bruins forward Brad Marchand will look to extend his NHL career-high point streak to 14 games (10 goals, 18 assists), and linemate David Pastrnak will try to stretch his point streak to 13 games (14 goals, 15 assists), which would be an NHL career-best.
Montreal's Claude Julien will become the 19th coach in NHL history to coach 1,200 games. He was coach of the Bruins when they won the Stanley Cup in 2011.
The Canadiens are 3-1-0 in their past four games but are coming off a 4-1 loss to the Dallas Stars on Saturday.