The present invention uses a substrate for an optical element comprising a light scattering unit that scatters visible light, and a light transmissive opening that transmits the visible light in a light transparent substrate transmitting the visible light, as a light extraction substrate of the organic electroluminescence element. With this, a substrate for an optical element, an organic electroluminescence element, and an organic electroluminescence display device are provided that improves the light extraction efficiency to outside of the substrate and also improves the light extraction efficiency by obtaining a high luminance organic electroluminescence element.