Provided is an organic EL display manufacturing method which has: a step wherein an organic EL panel having a substrate and organic EL elements arranged in matrix on the substrate is prepared, and each organic EL element is permitted to have a pixel electrode disposed on the substrate, an organic layer disposed on the pixel electrode, a transparent counter electrode disposed on the organic layer, a sealing layer disposed on the transparent counter electrode, and a color filter disposed on the sealing layer; a step of detecting a defective portion on the organic layer in the organic EL element; and a step of breaking the transparent counter electrode in a region on the defective portion of the transparent counter electrode by irradiating the region on the defective portion with a laser beam. The laser beam is radiated by being tilted with respect to the normal line on the display surface of the organic EL panel.