In a grinding method and apparatus, a machining portion of a workpiece is ground with a grinding wheel on a trial, and shape errors in respective rotational phases of the machining portion are measured after the trial grinding. Based on the shape errors, control data defining workpiece rotational speeds for respective rotational phases of the workpiece is prepared so that the workpiece rotational speed is made to be slow for a rotational phase in which the machining portion is undercut, but to be fast for another rotational phase in which the machining portion is overcut, and the machining portion of the workpiece is ground as the rotational speed of the workpiece is controlled in accordance with the control data.