An improved model prediction current control is proposed to address the disadvantages of the model predictive common-mode voltage suppression method for double-three-phase permanent magnet synchronous motors， including the size of the optimization calculation， high switching frequency， and poor steady-state performance. Firstly， the six-phase two-level inverter is improved for reducing the common-mode voltage of zero-vectors. Secondly， the virtual voltage vector is constructed by choosing small common-mode voltage vectors， which simplifies the value function and reduces the common-mode voltage and current harmonics. Then， the optimal voltage vector is directly selected by calculating the reference voltage vector to reduce the number of optimization-seeking times， and the duty cycle control is introduced to enhance the motor control accuracy and steady-state performance. Finally， the traditional model predictive current control， RCMV （reduced common mode voltage）-1， RCMV-2， and the proposed control method are simulated and compared. The results show that the proposed control method reduces the torque pulsations and harmonic currents while decreases the common-mode voltage， and the switching frequency is significantly lower than that of the RCMV-2 method. In addition， the execution time of the optimization-seeking code is reduced by about 91% and 65% compared with RCMV-1 and RCMV-2， respectively， which reduces the computational amount.