In order to realize the control precision and speed curve of stepper motor in real time, the speed control method was studied.Based on the working principle and mathematical model of two-phase hybrid stepper motor, the model of its open-loop control system was built in Simulink, and a real-time parabolic speed curve algorithm was designed and compared with the typical trapezoidal and exponential speed curve algorithm. The simulation results show that the maximum no-step rotation Angle of the parabolic acceleration and deceleration curve is 990° in unit control period, which is at least 22% higher than the other two algorithms. The minimum control period of driving stepper motor is 42ms, which is 22.2% higher than that of exponential type. It is proved that the acceleration and deceleration algorithm has faster response speed and higher control precision, reduces the occurrence rate of out of step and overshot, avoids mechanical flexible impact and prolongs the system life.