Abstract: This paper establishes a finite element model of the airborne equipment mounting bracket. Modal analysis was performed on the bracket, extracting the first six orders of natural frequencies and their corresponding mode shapes. The strength of the bracket under random vibration load spectrum conditions was calculated and analyzed. Based on the random vibration analysis results, a multi-objective optimization method was applied to optimize the lightening holes on the bracket, determining their optimal dimensions. Simulation analysis was conducted on the optimized structure, and the results demonstrate the feasibility of this method. Comparative analysis of metrics before and after optimization shows that the optimized structure achieved a weight reduction of