Making an OLED display, includes forming a first storage plate and a gate insulating layer covering the first storage plate on a substrate; sequentially forming a second storage plate covering the first storage plate and a capacitor intermediate in the gate insulating layer; forming a first doping region by injecting an impurity to a part that is not covered by the capacitor intermediate in the first storage plate; forming an interlayer insulating layer having a capacitor opening exposing the capacitor intermediate, and a plurality of erosion preventing layers on an edge of the capacitor intermediate toward the first doping region in the capacitor opening; removing the capacitor intermediate including the erosion preventing layer and a lower region of the erosion preventing layer, and injecting an impurity in the first storage plate through the second storage plate to form a second doping region contacting the first doping region.