The game was tied 2-2 when Smith struck 1:22 into the final period, firing home the rebound of a Gabriel Bourque shot following a Panthers turnover.
Craig also assisted on a Mike Fisher goal and in second period, which gave Nashville a brief 2-1 lead.
Pekka Rinne stopped 22-of-25 shots in the victory.
Matt Gilroy, Marcel Goc and Jonathan Huberdeau each found the net for Florida.
Jacob Markstrom made 26 saves in the loss.
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