A discharge display device wherein a gas-tight space defined by two plates and a sealing member is divided into a plurality of discharge chambers by partition walls formed on one of the two plates, and height adjusting layers are interposed between end faces of the respective partition walls and an inner surface of the other plate. Each height adjusting layer is formed from a material which has a softening point not lower than that of the sealing member and which is softened at a sealing temperature at which the two plates are bonded together by the sealing member. The height adjusting layers, which assure gas-tight separation of the discharge chambers, may replace upper end portions of the partition walls. Alternatively, the partition walls may be entirely formed from the above-indicated material. Also disclosed is a process of fabricating such a discharge display device, wherein height adjusting layers are softened at the sealing temperature when the two plates are bonded together with the melting of the sealing member.