On the basis of the existing literature research, this paper uses the basic theory and method of differential equation and dynamics system to firstly derive the global attraction region of the chaotic model of the permanent magnet synchronous motor and then to make simulation on the theoretical results. The theoretical analysis and numerical simulation results show that the studying result of global attraction set of the chaotic model of this permanent magnet synchronous motor is correct. The studying result has good reference value for the stable operation of the gearing system of the motor, and meanwhile, the research results provide theoretical basis for the motor to be used in circuit design and engineering of the chaotic system of the motor.