Abstract: With a method for completely automatic products of fitted sheets, elastic bands are sewn into or onto the cut edges (transverse edges), and the lengths of the elastic bands correspond approximately to the widths of the pieces of fabric. Then the widths of the pieces of fabric are measured and, dependent upon the results of this measurement, a piece of fabric is positioned in the middle or symmetrically in relation to the sewing needles of four sewing devices for formation of the corner seams, and the needles are provided in pairs facing each cut edge (transverse edge) of a piece of fabric at a corner processing station. Thereafter, the piece of fabric is hemmed in the corner of processing station parallel to its cut edges (transverse edges) and the hems of the piece of fabric are fixed.