The Blackhawks won their first six games of the season, but now have lost two in a row -- both in overtime.
Alexander Edler scored his third of the season late in the first period to give Vancouver the lead and it remained a 1-0 contest until Patrick Kane tallied midway through the third for the Blackhawks.
Luongo made 27 saves in 65 minutes of action before stopping all four shots he saw in the shootout. He had won just one of his first four starts of the season, losing two of them in shootouts.
Crawford stopped 21-of-22 shots.
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'
Gal Gadot cast as Wonder Woman for 'Batman vs. Superman'