Numerical analysis of mechanical behavior of rubber materials is an important part of the design and selection for aviation structure. In order to meet the extensive analysis requirements of rubber materials, the most classical and most commonly used hyperelastic material constitutive model and corresponding numerical algorithm in engineering are studied firstly. With the help of the nonlinear analysis process in the large-scale CAE software SABRE system, the constitutive calculation and stress update module of hyperelastic material are developed, and the numerical analysis process of large deformation of hyperelastic material is realized. The flexible honeycomb example shows that the accuracy of the developed hyperelastic material analysis process is equivalent to that of the commercial finite element software. The interface and process organization logic of the related material constitutive calculation module can be further extended to the development of more new material constitutive modules.