Abstract: A method and apparatus for the rolling drive of a gear grinding machine. The rotation portion of the rolling movement of the workpiece is effected by roll bands, which at one end are secured to a roll-band carriage movable back and forth with respect to the workpiece axis and at the other end are secured to a roll cam and roll onto and off therefrom. The roll cam and the workpiece are supported on a roll-cam carriage movable back and forth parallel to the roll-band carriage. The roll-band carriage and the roll-cam carriage can be driven at a substantially phase-equal movement. The relationship between the stroke of the roll-band carriage and the roll-cam carriage can be adjusted corresponding with the difference between the diameter of the roll cam and of the workpiece.