Kane's one-timer off a pass from Viktor Stalberg with 2:02 remaining in the third period pulled the Blackhawks into a 1-1 tie.
After a scoreless overtime, he notched the only goal of the ensuing shootout while Corey Crawford made a pair of saves, enabling the Blackhawks to remain without a regulation loss in 22 games to start the season -- extending an NHL record.
Crawford turned aside 32-of-33 shots en route to the victory.
Tomas Tatar scored and Jimmy Howard made 32 saves for the Red Wings, who fell for the second time in three contests.
Swim Week Miami Beach 2014 [PHOTOS]