An organic light-emitting display apparatus includes a substrate including a display area, and a non-display area adjacent to the display area. A power source line is positioned in the non-display area. A display unit is arranged on the substrate. The display unit includes a thin film transistor. A display device is connected to the thin film transistor. A thin film encapsulation layer substantially covers the display area. The thin film encapsulation layer includes at least one organic layer and at least one inorganic layer. At least one insulating dam is arranged in the non-display area and surrounds the display area. A crack unit is adjacent to the at least one insulating dam in the non-display area. At least a part of the crack unit is in direct contact with the at least one insulating dam.