Darren Helm scored for Detroit (23-29-8), which outshot Philadelphia 38-23. Hart made 12 saves in the third period.
"I'm not sure we've had many games where we've played well for the full 60 minutes, and that's something we need to work on every day," Red Wings defenseman Niklas Kronwall said. "But you can definitely see bits and pieces where we do it right and when we're a pretty good team."
Jonathan Bernier allowed one goal on 10 shots before leaving the game after the first period because of an upper-body injury. Jimmy Howard made 11 saves.
"We think Bernier is going to be fine," Red Wings coach Jeff Blashill said. "He was in the (concussion) protocol, but we don't think it is a concussion issue. It seems to be more of a neck strain."
Lindblom gave the Flyers a 1-0 lead at 15:48 of the first period when his tip of Sean Couturier's shot went in off Nick Jensen's skate and past Bernier.
"I'm not even sure [Couturier] was passing the puck to me, but I was going hard to the net," said Lindblom, who had the first two-goal game of his NHL career. "I got a stick on it, and then I think it hit a skate. That's the kind of luck we've had lately."