It was the second power-play goal of the season for the Flames, who were 1-for-25 in their first six games and ranked 30th in the NHL. It was the 13th goal allowed in 22 times shorthanded for the Blackhawks, who went 3-for-5 on penalty kills and are 30th in the League.
After Kane tied it at 1:32 of the second period with a one-timer, Monahan gave the Flames a 2-1 lead at 6:52 on another power play.
Calgary got three more power plays in the second but couldn't capitalize, including a four-minute man-advantage with 5:14 left after Tyler Motte was called for a high-sticking double minor.
"It just seems no matter what, it finds a way, a different way, every time," Blackhawks coach Joel Quenneville said. "We had a couple big kills in the second period, and that was positive. We built off it, had a good third period and found a way to get a point. Could've had two."
Campbell tied it 2-2 at 4:12 of the third with his first goal of the season.