Trailing 3-2 entering the final period, Niklas Hagman got the equalizer 4:29 into the frame and, with Ladislav Smid off on a holding penalty, Iginla notched a power-play tally 3 minutes later.
Alex Tanguay got the Flames' first goal and added an empty-netter to seal the win for Calgary, when had gone 1-for-13 on the power play entering the contest.
Mikka Kiprusoff stopped 27-of-30 shots in the win.
Ales Hemsky, Dustin Penner and Magnus Paajarvi scored for Edmonton, which fell to 2-22-2 on the road stretching back to last season.
Celebrity Couples of 2014 [PHOTOS]