Giroux also had an assist as the Flyers concluded a 2-0-1 trip that included two days of bonding in Naples, Fla. They are an NHL-best 6-1-1 on the road.
Jaromir Jagr and Jake Voracek chipped in with a pair of assists.
Carolina got to within 4-3 on Patrick Dwyer's successful penalty shot with 15 minutes, 24 seconds remaining, but the Flyers held off the Hurricanes. Dwyer had two shorthanded goals, one with nine-tenths of a second left in the opening period.
But rookie Matt Read iced the win by converting a goal-mouth pass from Voracek with 3:51 to go. Read crashed into the end boards after scoring and was helped to the bench.
It marked the first time the Flyers had allowed two shorthanded goals in a game since Dec. 15, 2009, in Pittsburgh.
Giroux scored early in the first and second periods - his first multi-goal performance of the season - to spur the Flyers to a 4-2 lead after 40 minutes. It gave Giroux 11 goals, temporarily putting him into a tie for the NHL's No. 2 spot.
Jagr assisted on both of Giroux's goals.
Giroux nearly had a hat trick when his left-circle shot went past Cam Ward and sent the goalie to an early exit with about 13 minutes left in the second period. But it was ruled the puck had deflected off Wayne Simmonds in front, putting the Flyers ahead, 4-1.
Ward was replaced by former Flyer Brian Boucher, who was sharp the rest of the period, making his best save on Max Talbot's shorthanded chance.
Carolina got to within 4-2 on a goal by Tuomo Ruutu with 7:59 left in the second period. Ruutu converted a give-and-go with Jussi Jokinen.
The Flyers, looking much more disciplined than they had in recent games, killed both Carolina power-play chances in the first two periods. At that point, they had successfully killed 28 of their last 29 penalties in the last five-plus games.
The Flyers dominated the first period and were trying to build on a 2-0 lead when they got a power play late in the stanza. And then . . .
Patrick Dwyer took a pass from Eric Staal, sped past James van Riemsdyk, and beat Sergei Bobrovsky to the short side with nine-tenths of a second remaining, cutting the Flyers' lead to 2-1.
Earlier, the Flyers got goals from Giroux and Talbot (his sixth, just two fewer than he had last season in Pittsburgh) to take command. They nearly made it 3-0 when Harry Zolnierczyk set up Sean Couturier alone in front, but Ward turned aside his shot with 9:20 left in the opening period.
Jagr, taking advantage of a slow-developing Carolina line change, threaded a pass to Giroux, who split two defenders and scored on a breakaway just 1:19 into the game. Jagr's two assists in the first 40 minutes gave him 103 career points in 71 games against Carolina/Hartford.
About 71/2 minutes later, Jake Voracek, from behind the net, found Talbot in the slot for a quick 2-0 lead. Talbot had dental work earlier in the day after getting hit in the mouth Sunday against Florida.
"Our line battled hard. We finished a couple of checks and battles in the corners," Talbot said. "It was a great play by Jake."
Contact staff writer Sam Carchidi at 215-854-5181, firstname.lastname@example.org or follow @BroadStBull on Twitter.