There is disclosed an AC PDP comprising two plates. These two plates are opposite to each other with a plurality of parallel electrodes on one plate being across a plurality of parallel electrodes on the other. The space therebetween, sealed by a side wall, is filled with a discharge gas. A fluorescent layer is formed on the side of one of the plates in the sealed space. Opposite to the fluorescent layer, a dielectric multilayer structure is laminated on the electrodes and covered with an overcoat layer, wherein its sub-layers are of lower fluidity as they are nearer to the overcoat layer. This is accomplished by arranging the sub-layers in such a way that they may be higher in softening temperature as they are nearer to the overcoat layer. Since the sub-layers are made of glass materials, this softening temperature gradient is determined by the content of PbO and/or B.sub.2 O.sub.3 in each of the sub-layers, ranging from approximately 20-50% by weight and approximately 0.5-12.5% by weight, respectively, based on the total weight of each layer. This multilayer structure effectively prevents cracks from occurring in the overcoat layer upon sintering. Therefore, the problems of the electrode damage and the discharge gas pollution, both attributable to the cracks, can be effectively solved, and a high quality and endurable AC PDP can be provided.