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In order to solve the problem that the cogging torque of tangential magnetizing parallel structure hybrid excitation synchronous motor (TMPS-HESM) rises sharply when the excitation current increases. Maxwell & Workbench & optiSLong co-simulation tool was used for research. Firstly, the length and width of the permanent-magnet, rotor eccentricity, and stator parameters are parameterized. The multi-objective optimization is carried out by using particle swarm optimization (PSO). Secondly, through sensitivity analysis, the influence degree of different input parameters on cogging torque, average torque and torque pulsation is discussed. Then, the quadratic regression model of high sensitivity parameters and cogging torque, average torque and torque pulsation is established respectively. Finally, entropy technique for order preference by similarity to an ideal solution (TOPSIS) method is used to select the optimal solution from pareto solution set. The results show that the cogging torque and torque ripple of the optimized motor are suppressed obviously, and the average torque is also improved.