An organic light-emitting display apparatus includes: a substrate; a pixel electrode above the substrate; an intermediate layer above the pixel electrode and comprising an organic emission layer; an opposite electrode above the intermediate layer; and an encapsulation structure above the opposite electrode and comprising at least one inorganic film and at least one organic film. A difference between a refractive index of the at least one inorganic film and a refractive index of the at least one organic film is in a range between about 0.3 to about 0.5. A thickness of the at least one inorganic film is in a range of about 0.7 μm to about 1.5 μm. A thickness of the at least one organic film is in a range of about 3.5 μm to about 6.5 μm.