A flexible display apparatus has a small thickness which makes it easy to wind or unwind a flexible display module. The flexible display apparatus includes a frame module, into or from which a flexible display module is wound or unwound, and a panel elevating module configured to vertically move the flexible display module via folding or unfolding of at least one retractable unit. The retractable unit includes joint members provided at ends of first and second links intersecting each other, and elastic members installed to the respective joint members and supported by the ends of the first and second links.