The traditional single-arc blade used in the squirrel cage fan is simple in structure and cannot meet relevant parameterized design requirements. In order to improve the aerodynamic performance of single-arc blades of squirrel cage fans an improved Hicks-Henne function was used in this study to parameterize the blade expression in a Q35 single-suction squirrel cage fan. The AE criterion was used to optimize the Latin hypercube design, a Co-Kriging agent model was established with High and low confidence samples, and the NSGA-II algorithm was combined with the flow rate and total pressure efficiency as a multi-objective optimization goal. A set of optimal blade parameters was selected under the premise that the flow meets the design requirements. The optimized fan's total pressure and total pressure efficiency were improved at each working point. At the design working point, the fan's total pressure increased by about 23Pa, the effective air volume increased by 1.18m³/min, and the total pressure efficiency improved by 3.31%.