A sealing substrate is arranged to oppositely face an element substrate on which organic EL layers are formed in a matrix array with a sealing material sandwiched therebetween. A gel-state desiccant is filled in an inner space surrounded by the element substrate, the sealing substrate and the sealing material. Since the gel-state desiccant is in a gel state, the gel-state desiccant is flexibly filled in the inner space of the organic EL display device thus completely eliminating a gap. Since the inner space is filled with the gel-state desiccant, moisture hardly intrudes into the inner space from the outside and, at the same time, a mechanical strength of the organic EL display device is also enhanced.