A flexible display device including a flexible display unit; and a controller configured to receive a first touch input at a first position on the flexible display unit in a flat state, store, in a memory, first position information of the first touch input that is offset a first predetermined amount from the first position, receive a second touch input at the first position on the flexible display unit in a first bent state, and store, in the memory, second position information of the second touch input that is offset a second predetermined amount from the first position, wherein the first predetermined amount of offset is greater than the second predetermined amount of offset.