An organic light-emitting display apparatus includes: a substrate having a display area and a peripheral area surrounding the display area; a first insulation layer, which is located on the substrate across the display area and the peripheral area and comprises a first opening (e.g., a first groove or first hole) at the peripheral area; and a first conductive layer, which is located on the first insulation layer and has one end portion located in the first opening, wherein a distance between the top surface of the substrate and the top surface of the one end portion of the first conductive layer is smaller than or equal to a distance between the top surface of the substrate and the top surface of the first insulation layer, the portion of the one end portion of the first conductive layer being a portion of the first conductive layer toward an edge of the substrate.