XM23 glue was widely used in aerospace optical remote sensors for bonding optical lenses and metal structural parts， which could play a shock absorption role. At present， the research of the mechanical properties of XM23 glue was based on linear elastic theory. However， XM23 glue was a high polymer and exhibited nonlinear characteristics， which could not be accurately characterized by Young''s modulus and Poisson''s ratio of linear elastic materials. In this paper， the stress-strain data of XM23 glue was first tested by the uniaxial tensile test of XM23 glue. Based on the theory of hyperelasticity， three kinds of hyperelastic constitutive models were tried to fit the data. The analysis shows that the Mooney-Rivlin 3 parameter constitutive model is the most suitable for characterizing the mechanical properties of XM23 glue. In the constitutive model， the material parameters is -0.205 9 MPa， is 0.688 8 MPa and is 0.055 7 MPa. Using this constitutive model， the uniaxial tensile test of the adhesive is simulated with finite element software， and the simulated stress and strain data are consistent with the test data within the error range. The construction of hyperelastic constitutive model of XM23 glue provides theoretical and data support for the finite element simulation of XM23 glue bonded structures.