The Bianconeri took the lead through Chiesa following a delightful exchange with Paulo Dybala. Chiesa had rattled the post moments before this.
Towards end of the first half, Milan grabbed an equaliser through a great finish from Davide Calabria. Chiesa and Dybala would link up again as Chiesa fired into the bottom corner of the net to put his side 2-1 up.
Juve would kill off the game when Dejan Kulusevksi set up Weston McKennie who put the result beyond any doubt.
Chiesa has made a brilliant start to 2021 with three goals in the two games so far.