Abstract: In order to solve the problems that predictive current control was sensitive to parameters of motor and the vectors selection was cumbersome, a robust predictive current control strategy for permanent magnet synchronous motor (PMSM) fed by cascaded H-bridge(CHB) inverter was proposed in this paper. First, an observer of multi-parameter integration was proposed based on sliding mode theory. In order to eliminate the influence of resistance error and flux error, the observer integrated the term of disturbance with the terms containing resistance and flux, and the results were used to compensate the predictive model. Besides, a continuous function with adjustable parameters was used as the reaching law and then a reference voltage with chattering suppression and robustness was obtained. Then, according to the region of the reference voltage, the optimal two vectors and their duty cycles could be obtained directly. The calculation process was independent of the level number. Finally, the practicability and validity of the proposed method were verified by simulation and experiment.