An organic light-emitting display apparatus is provided. The display apparatus includes a pixel-defining layer disposed on a substrate, wherein the pixel-defining layer defines an emission region and a non-emission region, an organic light-emitting device disposed in the emission region, and a protruding portion disposed on a portion of the pixel-defining layer in the non-emission region. The display apparatus also includes a thin film encapsulating layer disposed on the substrate for sealing the organic light-emitting device and the protruding portion, the thin film encapsulating layer comprising at least one organic film and at least one inorganic film, wherein at least one organic film corresponds to a functional organic film, and a height of a first upper surface of the functional organic film disposed away from the protruding portion is lower than a height of a second upper surface of the functional organic film disposed near a top of the protruding portion.