In view of the fact that the sealing rubber is prone to edge warping under compression, which seriously affects the waterproof effect of segment joint, based on the grid mapping technology in ABAQUS/standard, the compression numerical model of hyperelastic rubber gasket is established, and the numerical simulation of axial compression is carried out for 7 kinds of gaskets with different opening shapes, opening rates and hole arrangement. The results show that in the whole process of compression simulation, the stress on the contact surface of elastic gasket meets the multi peak W distribution law of large at both ends and small in the middle; compared with other types of gasket, the maximum average contact stress of the gasket with closed hole of rounded triangle is increased by 86.8%; compared with other types of gaskets with different opening rate, the maximum average contact stress of the gasket with the opening rate of 0.294 increases by 92.6%; the maximum average contact stress of the gasket arranged with staggered holes is 25.2% higher than that of the gasket arranged with opposite holes; compared with the change of open hole configuration, the change of closed hole configuration is more sensitive to the contact stress. The maximum difference of average contact stress between two simulations under the same working condition is 85.2%.