A fastening device for fastening a first element to a second element, for example for mounting a component of a motor vehicle screen wiping apparatus on a panel of the bodywork of the vehicle, is of the general kind comprising a bolt and nut assembly, with the shank of the bolt passing through a hole in the panel. A shock absorbing bush, e.g. of rubber, is interposed between the bolt and nut assembly and the hole. When the device is tightened, this bush is compressed axially between an annular and radial thrust surface carried by the bolt and the annular gripping face of the nut. A gripping spacer element is disposed axially between the radial thrust surface and the annular gripping face of the nut.