A flat panel display apparatus and an organic light-emitting display apparatus. The flat panel display apparatus includes: a substrate; a display unit which is disposed on the substrate to realize an image; a metal sheet which is disposed opposite to the substrate, covers at least a part of the display unit, and includes a central part at which uneven wrinkles are formed and an edge part which is formed in a flat shape in which wrinkles are not formed; and a sealing material which fills a whole space formed between the substrate and the metal sheet and seals the substrate and the metal sheet.