Luffys final battle against Doflamingo in Dressrosa started in episode 723 of the anime and in chapter 782 of the One Piece manga. Although Luffy punched Doflamingo and fought his string clone before this episode, the battle between Luffy and Doflamingo concluded with Luffys King Kong Gun of Anger in episode 733 of the anime. Therefore, Luffy defeated Doflamingo in episode 733 of the One Piece anime.