In order to solve the problem that the third harmonic current of Five-phase Permanent Magnet Synchronous Motor (FPMSM) cannot be closed-loop controlled in the single-plane vector control of the five-phase permanent magnet synchronous motor, the two-plane vector Space Vector Pulse Width Modulation algorithm (SVPWM) algorithm is studied in this paper. The first to establish the mathematical model of dual dq plane, expand Park & Clark transformation, changed the traditional SVPWM, the asymmetry problem of the double dq plane treated by the normalization method. The SVPWM control is simplified, then set iq3 = kiq1 and the Speed & Current double closed-loop experiment is conducted to verify the correctness of the algorithm. Finally, through the Fast Fourier Transform (FFT) of the output current, amplitude and effective value of the current after the injection of the third-harmonic are within the allowable range, the output torque pulsation is stable, it constitutes the dual dq plane drive control system of FPMSM.