Provided are an organic light-emitting display apparatus and a method of manufacturing the same. The organic light-emitting display apparatus includes a display substrate; a thin film transistor (TFT) on the display substrate; an organic light-emitting diode (OLED) electrically connected to the TFT and including a first electrode on sub-pixels of the display substrate, an intermediate layer on the first electrode, and a second electrode on the intermediate layer; a pixel-defining layer which includes an opening exposing at least a portion of the first electrode and defines each sub-pixel; and a sealing substrate covering the OLED, the intermediate layer including a plurality of stacked layers, and a cross-sectional width of the intermediate layer gradually decreasing in a direction perpendicular to the display substrate.