Ottawa gained control early with four first-period goals.
The win should give the Senators momentum heading into Game 4 on Friday.
MORE: Bracket picks for each first-round matchup The Blues defeated the Minnesota Wild 2-1 in OT after allowing the Wild to tie the game with 22 seconds remaining in the third period.
Louis Blues and San Jose Sharks each earned overtime road wins Wednesday to start their journeys toward a possible Stanley Cup, while the New York Rangers, Boston Bruins and Pittsburgh Penguins opened with regulation victories.
Minnesota's Zach Parise tied the game with 22.7 seconds remaining in the third period.
Vladimir Sobotka opens the scoring with a quick wrist shot to give the Blues a 1-0 lead.
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