A flexible display device includes a bendable touch display panel, a touch detector, a screen divider, and a panel driver. The touch display panel includes at least one touch sensor. The touch detector detects a curved portion of the touch display panel and touch information corresponding to a touch applied to the touch display panel based on a sensing result from the at least one touch sensor. The screen divider divides a display area of the touch display panel into a plurality of divided areas with respect to the curved portion, and defines the divided areas as a display divided area and a non-display divided area, respectively, based on the touch information. The panel driver activates at least a portion of the display divided area and deactivate the non-display divided area.