A method for cylindrical grinding of a one-piece workpiece, a contour of which is defined by a continuous longitudinal axis and, in addition to a first longitudinal region, which is rotationally symmetrical with respect to said longitudinal axis and comprises a plurality of first longitudinal portions which are separated from one another in the longitudinal direction of the workpiece, has a second longitudinal region, in which radial distribution of mass in relation to the longitudinal axis is non-uniform and which comprises a plurality of second longitudinal portions which are separated from one another in the longitudinal direction of the workpiece, wherein first longitudinal portions and second longitudinal portions alternate with one another and at least one second longitudinal portion is formed by a bridge portion which extends between two first longitudinal portions and to a radial distance from the longitudinal axis, the method comprising
- mounting a balancing body, which forms a balancing mass, on the bridge portion by means of a recess provided in the balancing body and securing the balancing body in a mounted position on the workpiece, and
- then grinding at least a first longitudinal portion of the first longitudinal region by cylindrical grinding,
- wherein the recess in the balancing body extends radially with respect to the longitudinal axis and in a mounting direction extending radially with respect to the longitudinal axis, and the grinding is performed by centerless cylindrical grinding, wherein said first longitudinal portion is situated in a grinding gap formed by a regulating wheel, a grinding wheel and a support rail.