Abstract: Modular model predictive control（MPC） algorithm based on minimum current error for single-phase cascaded H-bridge（CHB） rectifiers was proposed. Regarding each H-bridge module as a rectifier and adopting serial calculation mode, the optimal modulation function of each H-bridge module was calculated module by module. A specific compensation algorithm was presented to reduce the sampling frequency of source voltage and current. By using the model predictive control algorithm based on minimum current error for each H-bridge, capacitor voltage balance control was inserted into the calculation of the optimal modulation function. Thus, the tedious process for implementation of capacitor voltage balance control was shortened, and the proposed algorithm can be easily adopted to a CHB rectifier with different number of modules. In addition, instantaneous a-b current component for single-phase CHB rectifier was generated by second-order generalized integrator（SOGI）.