Leading 2-0 from the first leg, Juve sealed the tie when Paulo Dybala drilled in a low penalty after Maxi Periera was sent off for handball.
The hosts played the second half at a canter as they reached the last eight for the second time in four years.
Striker Gonzalo Higuain went closest to a second when he fired wide.
Juve are joined in the last eight by English champions Leicester City, who beat Sevilla in Tuesday’s other game.
The quarter-final draw takes place on Friday.
Who was your man of match?