The 43-year-old Hasek, who stopped 25 of 27 shots, raised his playoff record to 65-47 in 112 career playoff games. Hasek helped the Red Wings claim their last Stanley Cup title in 2002.
While Hasek thwarted the Predators, Darren McCarty scored at 2:26 of the first period. Detroit built a 3-2 lead when Kris Draper's goal broke a 2-2 tie with five minutes left in the second.
Tomas Holmstrom scored once with an assist.
Game 3 will be Monday night in Nashville.
Wisconsin business offering 'therapeutic cuddling' forced to close
Exploding whale video goes viral on Internet