Abstract: Model predictive flux control (MPFC) has attracted wide attention, because it had been proposed to cope with the tedious weighting factor tuning work required in conventional model predictive torque control (MPTC). However, similar to MPTC, MPFC presents high torque and current ripples if only one voltage vector is applied during each control period. To improve the steady state performance of MPFC, various two-vectors-based schemes can be found in existing literature. Although better performance can be expected if three vectors are selected during one control period, the complexity would also be increased significantly, which makes its practical application difficult. To address this problem, a simple yet very effective three-vectors-based MPFC is proposed in this paper. To decrease the effect of inverter nonlinearity on three-vectors-based MPFC, this paper also proposed an improved three-vectors-based MPFC based on the theory of volt-second balance. To show superior performance of three-vectors-based MPFC, MPFC based on space vector pulse width modulation is introduced as a comparison. Finally, the effectiveness of the novel three-vectors-based MPFC is verified by the simulation and experiment testes. A detailed performance comparison for the three control methods with the same switching frequency is also presented.