Kevin Lankinen made 29 saves for Chicago (24-36-11), which has lost six straight games (0-4-2).
"We should've had a couple of goals, obviously, but we didn't," Blackhawks coach Derek King said. "No urgency. I mean, too many passengers. Simple. That's it, in a nutshell. 'Lanks' played a great game. He had no support, and I'm going to have to address that."
After the Kraken outshot the Blackhawks 17-3 in the first period, Wennberg scored 47 seconds into the second to make it 1-0. He got around defenseman Jake McCabe in the high slot before he deked Lankinen and finished with his forehand into an open net.
"I had it in my toolbox," Wennberg said of the deke. "I'm happy it worked out. How the play developed, I got a little speed, so I was going to fake the shot and see if I could get the space, and [I felt] like I could beat him around. It goes fast. You trust your instinct."
The Kraken killed off three penalties in the second, including a 5-on-3 for 1:56 late in the period.
"Huge part of the game," Grubauer said. "We did the right things. We pressured at the right times, we blocked some shots in the lane, clear the puck when we had an opportunity to. … PK, a [heck] of a job today."