A process for
grinding workpieces is obtained which includes attaching
honing stones to a tool, each of the
honing stones including
grinding particles and an electroconductive connection for fixing the
grinding particles to each other; grinding the workpieces with the
honing stones by applying a honing liquid having substantially no electroconductive property to a region between the workpiece and the honing stones, the workpieces being successively ground during a series of
processing periods, while interposing non-
processing periods between the
processing periods, each of the workpieces being ground in one of the processing periods; and performing an electrolytic dressing with respect to the honing stones by using an
electrode provided to face the honing stones with a space therebetween, a
voltage being applied between the honing stones and an
electrode in the presence of an electroconductive liquid in the space between the honing stones and the
electrode, the electrolytic dressing being carried out during the non-processing periods.