Bourque's winner came on a tip-in just in front of the net. The puck drifted in front of the crease and Shawn Matthias couldn't clear it for Florida. Instead, it bounced off goalie Jose Theodore's pad and Bourque poked it in.
Carey Price made 26 saves for his 17th career shutout and second against the Panthers. The Canadiens won their second straight on the road.
Theodore stopped 31 shots for the Panthers, who lost their third in a row.