Moore, 29, has 8 goals and 9 assists for 17 points in 48 games for Florida. He signed with the Panthers as a free agent just before the start of the season.
The Canadiens will be Moore's seventh NHL team, and this marks the third year in a row that he's has changed teams in midseason. He was claimed off waivers from Minnesota by Toronto in 2007-08, and was traded from Toronto to Buffalo at last season's trade deadline.
Moore was originally drafted by the New York Rangers in the third round in 2000.
It's a tribute to him, and everything he's done and deserved is coming to fruition tonight with his jersey in the rafters. He's going to be a first-ballot Hall of Famer. And I said today, if he's not, take my stuff out. If he doesn't deserve to be in there first ballot, no one does. Except for (Wayne) Gretzky, I guess.
— Hockey Hall of Fame member Brett Hull on former teammate Mike Modano, whose No. 9 was retired by the Dallas Stars on Saturday