The invention relates to a method for centering grinding of workpieces, for example optical lenses by a grinding tool using an actuator for generating an advancing movement between the grinding tool and the workpiece, wherein the actuator and a current regulator for an actuator current which determines an advancing force of the actuator are integrated in a position control loop using a predetermined control cycle. For each control cycle: (i) a desired direction of movement (Rsoll(n)) of the advancing movement and an actual direction of movement (Rist(n)) of the advancing movement are ascertained; then (ii) the ascertained actual and desired directions of movement are compared to one another; and (iii) when the comparison results in a deviation between the actual and desired directions of movement, a predetermined current limit (Isollmax) for the actuator current emitted via the current regulator is decreased in a defined manner.