A continuously rotating motor actuated by shape memory alloys(SMA) wires was designed,which rotates with a low speed and high torque.Liang-Roger constitutive model was used to design the SMA wire-spring actuator.Based on the actuator,the mechanical structure and control system were designed.Finally the motor was tested and it shows that: the SMA motor can rotate continuously with the speed of 0.03 rad/min under 6 V constant power supply at 27 ℃.It is concluded that the new motor,which is actuated by SMA wires owning the characteristics of low rotating speed,high torque and high power density,has a potential use in industry application.