A method and device for stitching printed products with a stitching machine, which includes a stitcher head and a bending device, which travel concomitantly with each printed product as it is conveyed in a travel direction during the stitching operation. The bending device is positioned first in a first position, which corresponds to the thickness of the printed products and is a certain distance away from the stitcher head in the direction transverse to the travel direction. Before a printed product is introduced, its thickness is determined and compared with a predetermined limit value; and, if this limit value is exceeded, the bending device is brought into a predetermined second position, which is farther away than the first position from the stitching head. After the printed product has been introduced, the bending device is moved back into the first position, and the wire stitch is driven into the printed product.