A flexible display device is disclosed which includes: a display unit; a support unit configured to selectively support the display unit; a connection unit configured to attach together one edge of the display unit and one edge of the support unit; and a driving unit connected to the other edge of the display unit and the other edge of the support unit and configured to control a plurality of operations. The plurality of operations includes a first operation, which allows the display unit and the support unit to come in contact with each other and to maintain a relatively flattened state of the display unit, and a second operation which enables the display unit and the support unit to be separated from each other for stowage.