A dressing-grinding process for electronically controlled grinding machines for plain or surface grinding of workpieces is described. In order to maintain the effective rough depth during the grinding process, while the roller RPM must be selective and the feed of the dressing roller against the grinding wheel must be continuous, the dressing roller carrier is continuously fed against the grinding wheel carrier in accordance with the functions ##EQU1## wherein is: v.sub.frd (t): feed speed of the dressing roller carrier slide (31) relative to the grinding wheel slidea.sub.ed (t): dressing feed per revolutionn.sub.s (t): grinding wheel revolutionsd.sub.s (t): grinding wheel diametert: current timev.sub.s : grinding wheel circumferential speed; for the described example of a straight grinding wheel it equals the grinding wheel speed v.sub.c. Thus v.sub.c =v.sub.s.y.sub.s (t): vertical coordinate of the wheel centery.sub.x (t): workpiece dimension in y direction.