Disclosed is a control method of a flexible display device, the method including sensing a state of the flexible display device, detecting touch input at a first position of the flexible display device, correcting position information, regarding the touch input detected at the first position, to a second position when the flexible display device is in a flat state, and correcting position information, regarding the touch input detected at the first position, to a third position when the flexible display device is in a first bent state, a distance between the first position and the third position being less than a distance between the first position and the second position.