An organic light-emitting display apparatus including: a substrate including a display area and a peripheral area at an outer side of the display area; a pixel electrode disposed in the display area of the substrate; a pixel-defining layer disposed on the pixel electrode and exposing at least a portion of the pixel electrode; an intermediate layer disposed on the pixel electrode; an opposite electrode disposed on the intermediate layer; a first conductive layer disposed in the peripheral area of the substrate and including at least one opening; a first block structure and a second block structure disposed on the first conductive layer and separated from each other with the at least one opening therebetween; and an encapsulation structure disposed on the opposite electrode in the display area and the peripheral area.