The double closed-loop control of single-phase PWM rectifier can achieve high power factor and stable output DC voltage, which has been widely used in industry. In the stage of designing controller parameters, the traditional approach based on small signal model cannot quantitatively evaluate and optimize the effect of control, resulting in deviating of design parameters from the actual used. Accordingly, this paper proposes a multi-objective design method that depends on discrete time domain model to realize quantitative design of controller parameters. Firstly, the design space is derived from the traditional small signal model, and it is positively mapped to the time domain dynamic and steady-state performance space of the controller by PLECS to evaluate the controller parameters quantitatively. On top of that, with the optimization algorithm, it is possible to find the design space that meets the requirements of multi-objective optimization. Finally, experiments are presented to verify the correctness and effectiveness of the proposed method.