Abstract: A riveting machine for connecting semi-cylindrical cover bands to the head ends of guide blading provided with rivet spigots at any point within a blade-carrying semi-cylindrical turbine component includes a radially adjustable riveting arm mounted for rotation within a plane normal to the cylinder axis about a pivot axis coaxial with that of the cylinder, and a riveting group carried at the outer end of the arm which comprises a rotatable riveting spindle and associated mechanism for pressing the cover band firmly against the head ends of the rigidly held guide blading while the rotatable riveting spindle works a head onto the spigot.