Showing more spark after not taking enough challenging shots on goal in their 1-0 loss Friday night, the Bruins had 18 shots in the first period after managing just 25 in the entire opener.
Luke Glendening cut Boston's lead to 2-1 at 13:20 of the second period before Milan Lucic scored late in the second and Zdeno Chara added a power-play goal early in the third.
Game 3 of the best-of-seven series between the top-seeded Bruins, who won the Presidents' Cup with an NHL-high 117 points, and eighth-seeded Red Wings is set for Detroit on Tuesday night.
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