A process of fabricating an organic electro-luminescence display panel is provided. An organic electro-luminescence element is formed over a substrate and then a stack structure is formed over the substrate covering the organic electro-luminescence element. Wherein the stack structure comprises an organic polymer layer and an inorganic compound layer. The inorganic compound layer is composed of at least two inorganic films, and an interface between the inorganic films comprises a material intermixed with materials of the two inorganic films. The stack structure of the present invention is capable of effectively reducing penetration of atmospheric moisture and oxygen into the organic electro-luminescence element and thus effectively reducing the damage thereof.