An organic light emitting display apparatus includes a lower substrate and an upper substrate. The lower substrate includes a light emitting device having an organic emission layer between first and second electrodes, and an auxiliary electrode under and electrically connected to the second electrode. The upper substrate includes an embossing member contacting the second electrode. The embossing member is coupled to the upper substrate to face the lower substrate and applies a pressure to establish an electrical connection between the auxiliary electrode and the second electrode.