Abstract: Static tensile tests were carried out on rectangular nitrile butadiene rubber parts, and the parameters of the Mooney-Rivlin superelastic constitutive model were obtained by fitting the stress and strain data obtained by tests. The static compression finite element simulation of annular nitrile butadiene rubber parts was carried out by this constitutive model, and verified by experiments. The effects of wall thickness, outer diameter and temperature on the static stiffness of annular nitrile butadiene rubber parts were analyzed by simulation. The results show that the force-displacement curves of rectangular nitrile butadiene rubber parts in the large deformation stage during static tension were consistent with the test results, and the relative error was less than 5%, which indicated that the Mooney-Rivilin superelastic constitutive model could accurately describe the superelastic properties of nitrile butadiene rubber. The relative error between the finite element simulation of static stiffness and the compression test results of annular nitrile butadiene rubber parts was 13.1%, which proved the accuracy of the finite element method. With the increase of wall thickness or outer diameter, the static stiffness of annular nitrile butadiene rubber parts decreased. With the increase of temperature, the static stiffness decreased, but the reduction rate gradually decreased.