Rask's shutout was his third this season.
Boston won for the first time since Jan. 14, when the Bruins beat San Jose 2-1 in a shootout.
Marco Sturm got two of Boston's goals against Montreal. Adam McQuaid also scored and Patrice Bergeron had two assists.
Montreal goalie Jaroslav Halak was credited with 24 saves.
The Canadiens had won there previous three games.
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