A speed control apparatus comprises a pulse generator (105) for generating a number of pulses proportional to an angle of rotation of a servomotor (104), a speed signal generator (107P, 107N) for converting the frequency of the pulses into a voltage indicative of the actual speed of the servomotor in order to feed back the voltage through negative feedback, a detector (106) for detecting reversal of the direction of rotation of the servomotor, a positional change detector (108P, 108N) for detecting a change in a position of the servomotor after the reversal of the direction of rotation of the servomotor by counting the pulses produced by the pulse generator, and a circuit (201 P, 201 N) for lowering the voltage indicative of an actual speed until the position of the servomotor (104) is changed through a given interval.