The main failure causes of the integral Stirling refrigerator are the contamination of the regenerator, the wear of the moving friction pair, the failure of the bearing, the failure of the drive control circuit and the leakage of the gas working medium seal. The leakage of the gas working medium seal is the most important factor affecting refrigerator reliability. The main factors affecting the sealing performance of refrigerators are sealing surface machining quality, sealing material and sealing structure. In this paper, the sealing structures of two typical refrigerators are selected as the research object, and the finite element models of the sealing structures of the refrigerators are established. The simulation results show that the stress distribution of the center symmetric seal structure is more uniform than that of the axisymmetric structure, which is beneficial to the improvement of the sealing performance of the refrigerator. The results also provide a reference for the improvement of reliability in the subsequent production process of the refrigerator and the design of the new refrigerator.