An organic light-emitting display apparatus includes a substrate having a display area displaying an image and a periphery area. The periphery area is located next to the display area. A first organic insulating layer is disposed on the substrate. The first organic insulating layer includes a valley portion separating the first organic insulating layer from the periphery area. A plurality of organic light-emitting devices is disposed on the substrate. Each of the organic light-emitting devices includes a first electrode, an emission layer, and a second electrode, sequentially disposed over the first organic insulating layer. The second electrode covers the emission layer and the valley portion. A second organic insulating layer is disposed over the first organic insulating layer and incudes a first opening exposing a center portion of the first electrode and a second opening overlapping the valley portion. A capping layer covers the second electrode.