An organic light-emitting display apparatus including a shield layer and a method of manufacturing the same are provided. The organic light-emitting display apparatus includes a substrate having a display area and a peripheral area surrounding the display area. A plurality of first thin film transistors (TFTs) are disposed in the display area of the substrate and a plurality of second TFTs disposed in the peripheral area of the substrate. A shield layer is positioned above the second TFTs and extended to an edge portion of the substrate. The shield layer includes a plurality of through holes in a portion that does not overlap with the second TFTs.