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Three-phase single-switch power factor correction (PFC) circuit has the advantages of simple structure and convenient control, and its current source characteristics is conducive to achieve higher power by parallel interleaving. But theoretical analysis of the circuit was complex and the design theory was not established yet. To solve these problems, a parameters design method based on volt-second balance of the input inductance is proposed. By this method, the key component parameters of a 7.6 kW experimental prototype are designed. At the same time, A constant on-time control method of this circuit based on MATLAB simulation is designed, which can be applied to various converters with constant on-time control. The parameters and control design method of the single-switch PFC circuit are simulated based on the MATLAB. A prototype is built and tested also, the test results verify the correctness of the parameter design theory and constant on-time control simulation method.