A method of fabricating a graphene material, an organic light-emitting diode (OLED) illuminating device, and a display device are provided. The method of fabricating the graphene material has steps of synthesizing and reducing a target object. The fabricated graphene material has advantages of good quality and no impurities. The OLED illuminating device has a substrate, an anode layer, a cathode layer, an organic coating layer, and a graphene material and/or a graphene material layer. The graphene material is doped in at least one of the anode layer, the cathode layer, and the organic coating layer, and/or disposed between an anode and the substrate and/or between the organic coating layer and the cathode layer to form the graphene material layer, which has excellent thermal conductivity, and heat within the OLED illuminating device can be effectively and quickly conducted. The display device has the OLED illuminating device, which increase service life.