The Senators added an empty-net goal by Daniel Alfredsson with 6.9 seconds left.
The Flyers suffered their third straight loss, during which they have managed one goal in each contest; they are seven points out of the eighth playoff spot with eight games left.
"We're not getting enough shots," said winger Mike Knuble, whose team was outshot, 34-25. "At times instead of making a lateral play, [we should] get pucks to the net . . . and put them in a tough spot. When their 'D' sees everything in front of them, it's easy for them to defend."
It marked the second time in the last three games that a team had ended a five-game losing streak against the Flyers. Winnipeg did it Saturday.
In his first comments since the story broke, Bryzgalov criticized those who reported that he had slept during a recent team meeting. The Fanatic - WPEN-FM (97.5), the team's flagship radio station - first reported the story, citing unnamed sources.
Speaking in a calm but hurt tone, Bryzgalov vehemently denied the reports, calling them "embarrassing" and adding: "You've got to prove your sources. That was never happening. You became not professional journalists. You've got to do your job better. . . . Find reliable sources."
Ottawa scored its first two goals on breakaways.
"Two breakdowns. Two goals off the rush," said defenseman Luke Schenn, who played more than 25 solid minutes.
The Senators took advantage of a bad Flyers line change to take a 1-0 lead 3:20 into the game as Zack Smith took a feed from Marc Methot and scored on a mini-breakaway, putting a backhander past Bryzgalov.
"In a game when you're trying to stay alive and you give up first-period breakaways, it doesn't get the team going in the right direction," Knuble said.
While shorthanded because of Jay Rosehill's roughing penalty, the Flyers tied it when Giroux tipped in Simon Gagne's shot with 8:16 to go in the opening period.
Bryzgalov kept the Flyers in the game by stopping 23 of 24 shots in the first two periods.
Bryzgalov was also superb in the third period, making two tough saves in front in the opening 30 seconds, then stopping Guillaume Latendresse on a point-blank shot with about 18 minutes left.
The Flyers are 2-7 in games that are tied heading into the final period, and their power play, which had been No. 1 in the league, has fizzled lately. The power play was 0 for 2 - both chances were early in the third period - and it is 0 for 13 in the last five games.
Contact Sam Carchidi at firstname.lastname@example.org. Follow on Twitter @BroadStBull.