In order to explore the origin and evolution of the universe, the large survey telescope will break through the existing detection depth and observation area to help humans solve more scientific frontiers unresolved issues. The meter-level corrector is different from ordinary transmission optical systems. To make the performance of the corrector meet the design requirements, the basic principles and general methods of lens support design were summarized and analyzed, a finite element model of elastomer support was established, and the analysis of key parts in the support structure was optimized. At the same time, the displacement and deformation, stress changes and imaging quality changes of the lens and the cell under different gravity loads were considered. The results show that when the elevation angle changes from 0° to 90°, the normalized point source sensitivity (PSSn) value of the elastomer support at least 0.973 1, and its surface shape error, stress and displacement also meet the system design requirements. The work has guiding significance for the design and optimization of similar large aperture systems.