Doughty's winner came after Jonathan Toews was sent to the penalty box for holding Anze Kopitar. It was Doughty's 25th NHL game-winning goal, which tied Alex Frolov and Charlie Simmer for 10th place in Kings history.
"Weren't able to come through on the power play, they come through at the end on the power play, so you can look at a lot of little differences and details that end up deciding the game," Blackhawks forward Patrick Kane said.
Michael Amadio tied it 2-2 for the Kings with 4:15 remaining in the third period with a wrist shot from the slot that beat Crawford stick side.
There were multiple defensive breakdowns on the play, Blackhawks coach Jeremy Colliton said. Kings defenseman Alec Martinez was standing alone at the foot of the crease but was unable to get his stick on the centering pass from Kyle Clifford. The puck then went to Amadio, who was unmarked in the slot and scored his fifth goal.
"We just had missed coverage in D-zone and they were in a pretty good spot to score," Colliton said. "Both the goals I thought were a couple mental mistakes we made and allowed them to get a chance when I thought -- I'm not saying we were great, but I thought we were better than them and we gave them a couple goals."
Gustafsson gave the Blackhawks a 2-1 lead at 3:09 of the third period on a slap shot from the blue line over Campbell's left shoulder.
The Blackhawks took a 1-0 lead at 1:38 of the second period when DeBrincat scored his 41st goal. Martinez tried to break up DeBrincat's pass to Kane but inadvertently send the puck back for a tap-in at the near post.
DeBrincat has three goals in his past two games.
Kane got his 105th point of the season with the primary assist and is one point shy of his NHL career-high of 106 in 2015-16.
Austin Wagner tied it up 1-1 at 16:05 with his 12th goal, speeding past two defenders for a breakaway and a wrist shot into the roof of the net.
"The speed is such a big part of the game and every once in a while he just takes off and he makes something out of nothing," Kings coach Willie Desjardins said. "It wasn't that there was anything there. He just made it there because of his speed, and he just about had another later, too, where he did the same thing. It's great. I think all the guys wish that they had those wheels, makes it easier."