After a scoreless regulation and overtime in which he made 33 saves for his second shutout of the season, Howard made 10-of-11 stops in the shootout, including a save on Francis Bouillon that allowed Kronwall's tally in the top of the round to stand up as the game-winner.
The win -- the Red Wings' season-high fifth straight -- enabled Detroit to gain two points in the standings and jump into sixth place in the West, pending the outcomes of Saturday's games involving Colorado and Los Angeles.
Predators' goaltender Pekka Rinne made 38 stops to record his seventh shutout of 2009-10 but allowed two shootout tallies to take the loss.
Nashville came into the game winners of seven in eight, but its lead over the Red Wings for fifth place in the conference dwindled to one point.
Celebrity Families of 2014 [PHOTOS]