To ensure the surface roughness of high performance, of a raceway surface of a rolling bearing and the like by reciprocating and vibrating a grind stone with high speed vibrating frequency, rotating a workpiece at a high rotational frequency to execute the rough machining work onto a surface of the workpiece, and then executing the finishing work while lowering a rotational frequency of the workpiece.

When an inner ring 1 of a rolling bearing is a workpiece, first of all, the ultra-abrasive grain is used as an abrasive material. A grind stone 3 having a saddle-shaped point is mounted on a raceway surface 2 of the inner ring 1, the inner ring 1 is rotated at a predetermined high speed rotational frequency, the grinding fluid is poured onto the raceway surface 2, and the grind stone 3 is reciprocated and vibrated with a swing angle α on a vertual center O of the raceway surface 2 as a center of a shaft while pressing the grind stone 3 in the F direction at high speed vibrating frequency to execute the rough machining work. Then the inner ring 1 is set on a predetermined low speed rotational frequency while keeping the vibration frequency and the swing angle α as they are, and the finishing work is executed by reciprocating and vibrating a first grind stone 3 while pouring the grinding fluid. These rough machining work and finishing work are executed several times while changing the conditions.