Disclosed herein is a flexible display apparatus including: a fixing body of which a hinge is applied to one or two edges; flexible display means whose one end portion is fixed to the fixing body and whose the other end portion which is not fixed is capable of being folded and unfolded in a state where the unfixed portion is supported at the outer circumferential surface of the hinge; and a cover plate which is assembled to a hinge shape of the fixing body in a rotatable state and has a sliding space part and a sliding guide jaw for allowing sliding of the unfixed portion of the flexible display means and supporting the unfixed portion of the flexible display means. A sliding plate which surrounds the unfixed end portion of the flexible display means and slides on the cover plate is additionally provided.