High frequency link matrix rectifier is a new type power electronic converter with smaller size, lighter weight, less stages of conversion and high reliability, etc. The high frequency link matrix rectifier’s bipolar space vector modulation strategy is analyzed at first, and then a predictive control algorithm based on the referenced input current space vector is proposed. Based on the predictive control algorithm, the system simulation model of high frequency link matrix rectifier is established. The proposed predictive control algorithm shows the advantages of small computation, fixed switch frequency and high reliability, what’s more, it can realize sine waveform of input currents, unity input power factor and stable output DC current. Simulation results verify the effectiveness of the proposed control strategy.