An arrangement for fastening a covering on a cylinder of a printing machine, the arrangement including a cylinder having at least one axially extending cylinder groove which defines a groove wall at an acute angle to an outer surface of the cylinder, and a covering including at least one flexible support plate having a leading flange and a trailing flange that are inserted into the cylinder groove so that the leading flange engages the groove wall and the trailing flange is adjacent the leading flange. A spindle is arranged in the cylinder groove so as to be rotatable between a release position and a clamping position, and a leaf spring is mounted on the spindle so as to press, in the clamping position of the spindle, the trailing flange and the leading flange against the groove wall.