Petruchio, Kate, and Hortensio journey back to Padua. On the way, Petruchio continues his relentless attempts to coax Kate to submit to his authority as her husband. Though it is midday, Petruchio comments on how brightly the moon is shining, and when Kate responds that the sun is shining, he refuses to continue the journey until she admits that it is the moon. Having no more energy or patience to put up resistance and anxious to return to Padua, Kate concedes. Then, however, Petruchio reverses his claim and says that it is in fact the sun. Hortensio finally persuades Petruchio that he has tamed her, and they continue the journey.
After they have gone a short way, a similar incident occurs. They pass an old man on the same road to Padua, and Petruchio claims that, in fact, the old man is a young maid. Furthermore, he entreats Kate to embrace the maid. This time, Kate immediately obeys, but Petruchio then says she is mistaken, for the maid is really an old man. Kate continues to play along.
The old man turns out to be Vincentio, the true father of Lucentio. He tells the trio that he has come to visit his son in Padua. Petruchio happily tells him of the marriage expected between Bianca and Lucentio and realizes that this will make Vincentio Petruchio’s father-in-law. A bit confused, they all continue their journey to Padua together in order to sort things out there.
Back in Padua, Biondello hurriedly takes Lucentio and Bianca to the church, where the priest is ready to marry them. Lucentio is no longer disguised as Cambio the schoolmaster. Just as they leave, Petruchio’s party enters along with Vincentio, and they knock on the door of Lucentio’s house, where Tranio and the pedant currently reside in their respective disguises. When the pedant answers, Vincentio says that he is Lucentio’s father, but the pedant claims to be the true father and calls for the imposter’s arrest. Just then, Biondello arrives, turning white when he sees his old master, Vincentio, who recognizes him. Biondello pretends not to notice Vincentio, as Baptista, Tranio, and the pedant come out of the house. Vincentio also recognizes Tranio in Lucentio’s clothing, and he is further enraged when Tranio pretends not to know him.
The crowd turns against Vincentio and prepares to escort him to jail, when Lucentio and Bianca, newly married, arrive from the church. Biondello, Tranio, and the pedant take this moment of confusion to run away from the scene, knowing that the game is up. Lucentio can do nothing but beg his father’s pardon and disclose the scheme to everyone present. He explains that his deception stemmed from his love for Bianca, which pacifies the two fathers somewhat. Nevertheless, they depart to seek some small revenge on the men who fooled them.
Kate and Petruchio stand in amazement at the proceedings. They follow the rest inside to see the conclusion, but not before Petruchio demands one more thing of his wife. He asks her to kiss him, there in the middle of the street. Initially, Kate refuses, saying she is ashamed to do so. But when Petruchio threatens to turn them around and return to his home, Kate kisses him. Petruchio finally seems satisfied with her, and they go in.