Optical fiber image module is one of the key components of large field of view space-based telescope, whose stiffness characteristics of support structure have a crucial impact on the working life of objective lens. In order to ensure the lifetime of objective lens and reduce the weight of the support structure of the optical fiber image transmission module under vibration load, the braced structure of the optical fiber image transmission module was optimized with the inert strength of optical glass and the fundamental frequency of the structure as the optimization constraints on the basis of topological optimization. Firstly, the calculation method of inert strength of optical element was described and the inert strength boundary value of the coupled-fiber monocentric lens was determined. Secondly, the initial braced structure of the optical fiber image transmission module was designed. Finally, on the basis of topology optimization, an integrated optimization model was established with the inertia strength of the monocentric lens and the fundamental frequency of the braced structure as the optimization constraints, and was calculated by using iSIGHT integrated optimization platform. The numerical result of the simulation demonstrates that under the condition of satisfying the optimization constraint, the quality of the optimized support structure is reduced by 11.4%, achieving the obvious weight loss effect. The proposed optimization method provides a reference for the opto-mechanical structure of objective lens coupled with the optical fiber bundle.