A plastic diaper has a compound elastic closure consisting of a substrate foil that stretches more in one first direction than another. The substrate foil is bonded to a cover layer of non-woven elastic polymer fibers (3). On stretching in the first direction the fibers, the stretch is limited by non-elastic thermoplastic fibers also present. The cover layer is fabricated from spun fleece whose filament core is made of non-elastic thermopastic polymer. The specific weight of the cover layer is between 10 g/m2 and 200 g/m2. The non-elastic fibers represent about 20% Wt. The elastic substrate has a specific weight of 5 to 150 g/m2. also claimed is a suitable manufacturing process.