Redetachable, self-adhesive fastening device having a base plate, the front side of which serves for fastening and the rear side of which has a strip of an adhesive film which is adhesive on both sides and is adhesively attached in such a way that one end of the adhesive film protrudes beyond the base plate as a grip, the adhesive film being of such a kind that the adhesive bond achieved with it can be released again by pulling in the direction of the adhesive bonding plane, stretching the strip, characterized in that the rear side of the base plate has duct-like depressions in the region in which the strip of adhesive film is adhesively attached, these depressions extending at least partially beyond the region of the strip of adhesive film.