A servo-control apparatus generates a velocity command by applying backlash correction data to position error data when direction of rotation of a servomotor is reversed, and performs a backlash correction by adding an amount of backlash acceleration to the velocity command. In order to terminate backlash acceleration at an appropriate time, velocity feedback pulses are accumulated by a counter from the moment acceleration control starts, and the accumulated value of velocity feedback is monitored by an acceleration-stop instructing unit. When the accumulated value attains a predetermined value, an acceleration output unit is caused to halt the output of the amount of backlash acceleration to complete control of backlash acceleration.