There is disclosed a construction which facilitates preventing of organic electroluminescence films from being broken by contact between desiccant members and the organic electroluminescence films which are provided inside an organic electroluminescence display device. Organic electroluminescence films are formed on a substrate. An interior of an organic electroluminescence display device is sealed by a rear glass plate which is sealingly bonded to the substrate. The rear glass plate has recess portions in which desiccant members are mounted by double-side adhesive tapes. Thick portions are provided between respective adjacent recess portions of the rear glass plate, whereby the rear glass plate is prevented from being made to flex, and contact between the desiccant members and the organic electroluminescence films formed on the substrate is prevented.