The rookie goalie, playing his first game since sustaining a lower-body injury on Jan. 4, won his fourth game of the season and first since Dec. 31.
"I was happy with my overall performance but there are areas I want to clean up, like some technical things," Blackwood said. "The team played great in front of me again. There's momentum swings so you just have to be ready for whatever comes your way and hopefully come up with a couple saves."
WATCH: [All Flyers vs. Devils highlights]
Nico Hischier had a goal and an assist, and Damon Severson and Miles Wood each scored for the Devils (17-20-7), who are 2-4-0 in their past six games.
"I can't imagine how much pressure you have as a goalie because if you make a mistake, it's in the net," Hischier said. "If you make a mistake as a forward, you have a defenseman there and the goalie. So, what he's doing is pretty impressive."
Sean Couturier and James van Riemsdyk each had a goal and an assist, and Carter Hart made 23 saves for the Flyers (16-23-6), who have lost nine of their past 10 games (1-7-2). Couturier's two points give him 301 (117 goals, 184 assists) in 541 NHL games, all with the Flyers.
"It's been frustrating," van Riemsdyk said. "We shoot ourselves in the foot a lot and we have to chase the game a lot of the time. It's tough. We did do some good things but ultimately we made some key mistakes and they ended up in the back of our net."
The Flyers had a 6-on-4 advantage when Severson took a hooking penalty and Hart was pulled for an extra attacker 16:56 into the third period, but the Devils allowed one shot on goal to maintain a 3-1 lead.
Hischier gave the Devils a 2-0 lead 5:08 into the second period after stealing the puck from Travis Sanheim at center ice and scoring on a backhand shot 15 seconds after serving a hooking penalty. The 20-year-old is the third Devils player to reach 30 points (13 goals, 18 assists) this season, joining Taylor Hall (11 goals, 26 assists) and Kyle Palmieri (20 goals, 16 assists).