The accurate estimation of the rotor position during the start-up process of permanent magnet synchronous machine(PMSM) sensorless control has an important influence on motor control. Based on this, this paper proposed PMSM sensorless control method based on double predictive control. This method used a second-order generalized integrator instead of a band-pass filter as a highfrequency current extractor, and used model speed predictive control and deadbeat current control to replace the PI controllers in the speed delay and current delay to compensate for the feedback signal. Simulation experiments show that this method can reduce the error estimated when the motor start, and improve the dynamic performance of the motor starting process compared with the traditional sensorless control.