Abstract: A clutch cover assembly is adapted to rotate about an axis in a predominant direction. It comprises a cover formed with radial openings bordered circumferentially by axially offset fixing and retaining lugs. Tabs on a pressure plate pass through the openings and are linked by circumferential strips to the fixing lugs. They are provided with retaining means adapted to come into bearing engagement against the retaining lugs. The axial offset between the fixing and retaining lugs is such that the strips may be fixed to the tabs and to the retaining lugs for the opposite rotation direction while retaining the same curvature for a given axial position of the pressure plate.