Massimiliano Allegri's champions picked up all three points in Sicily and were rarely troubled by the hosts who have now lost their first three home games of the season
Juventus consolidated their position at the top of Serie A as an own goal from Edoardo Goldaniga secured a 1-0 win at Palermo.
Mario Mandzukic, Miralem Pjanic and Gonzalo Higuain had all gone close for Massimiliano Allegri's men before Goldaniga deflected Dani Alves' long-range strike into his own net early in the second half.
The visitors thus secured a ninth successive league victory over the Sicilian side, who have failed to score a single goal during a run of defeats that dates back to 2011.