The left wing scored at 6:54 of the third to break a 1-1 tie and added his second goal into an empty net with 19 seconds left.
The victory helped Detroit continue its momentum after winning the Presidents' Trophy in the regular season as the NHL's best team.
Red Wings goalie Dominik Hasek made 19 saves on 20 shots.
Predators' goaltender Dan Ellis was beaten twice on 39 shots.
Nashville is making its fourth straight post-season appearance.
The Predators will attempt to even the series Saturday afternoon.
Chipotle plans first price increase in 3 years
Putin thinks Obama would save him if he were drowning