In a sealing structure of an electroluminescent display device, in which a first glass substrate formed with an EL element and a second glass substrate as a cap are attached to each other, breaking of the element device is prevented when external force is applied to the first glass substrate and the second glass substrate. The sealing structure has the first glass substrate provided with the EL element on a surface thereof, the second glass substrate attached to the first glass substrate with a sealing resin, a desiccant layer formed on a surface of the second glass substrate and a stress buffer layer covering a surface of the desiccant layer.