Abstract: A rolling device for a gear-grinding machine in which the rotation portion of the rolling movement is effected by roll bands secured at one end to a roll-band carriage which is movable transversely with respect to the workpiece axis and at the other end to a roll cam. The roll cam is oriented coaxially with the workpiece on a roll-cam carriage which is movably driven back and forth transversely to the workpiece axis. The roll-cam carriage and the roll-band carriage are hingedly connected to a rocker arm which is hingedly supported at a pole point which can be adjusted on the machine frame corresponding with the workpiece diameter, and transfers the back and forth movement of the roll-cam carriage onto the roll-band carriage. The pole point of the rocker arm lies on a straight line which is defined by the hinge points of the two carriages, preferably between the two hinge points. That is, the diameter of the roll cam is then larger than the pitch circle of the workpiece which is to be machined.