An organic light-emitting display apparatus includes a substrate, a display on the substrate, a dam outside the display and spaced from the display, the dam having a stacked multi-layer structure and having a first side surface that faces the display, a second side surface opposite to the display, and a top, a groove in a separation area between the display and the dam, and an encapsulation layer that includes a first inorganic layer and an organic layer on the first inorganic layer, the first inorganic layer covering the display and extending along an inner surface of the groove, and an end of the organic layer being contained in the groove.