A digital servo-control apparatus which controls the rotation of a servomotor on the basis of a digital position command value representative of a target position and a digital position feedback value output from a position detecting device. The apparatus comprises a device for calculating a feedforward value at intervals of a predetermined period on the basis of the amount of change of the position command value, a device for delaying the position command value by a period of time corresponding to an operation delay in the feedforward value calculating device, a device for calculating a velocity command value by adding the feedforward value to a deviation of the position feedback value from the position command value delayed by the delay device, and a device for driving the servomotor according to the velocity command value determined by the calculating device.