Abstract: Reactive Stepping Moter is an element converting the electrical pulses into angular displacement or linear displacement. It has been widely applied to digital control and computer control. It is desirable not only that the stepping motors can run at high speed, but also that the starting rate and stopping rate of stepping motors can be increased Of course, the quality of the stepping motor itself plays an important role in the improvement of its speed, but the correct driving circuit and controlling method can produce a deep influence upon its performance and can help the motor to reach its possible highest performance. This paper deals with the factors which affect the operation of stepping motors and their starting or stopping rate, and the dynamic processes of starting and stopping. In this paper an ideal sequence of controlling pulses is derived to reach fast starting or stopping, and this is approximately implemented by simple logical circuits.