Abstract: Herein disclosed are a method and an apparatus for suppressing a torsional vibration in an electric motor speed control system including a mechanism for transmitting a drive torque from an electric motor to a load through a drive shaft having a torsional spring system. Generally speaking, the signal of a speed detector (3) of an electric motor is a pulsating signal of high frequency. Even if this speed detecting signal is differentiated, it is impossible to obtain a signal proportional to the changing rate of the motor speed. By computing an average value of the signals of the motor speed detector (3) for every predetermined period, however, the pulsating value of the speed signal can be reduced to compute the changing rate of the motor speed from that signal.