Currently in bellows applications, the vast majority of force situations are axial loads, so axial stiffness directly affects the service life of the bellows. To solve the problem of welded metal bellows stiffness is difficult to measure, to mechanical seals with S-type welded metal bellows as the object of study, the establishment of S-type bellows asymmetric crosssection finite element model, the use of ANSYS on the different number of waves of single and double-layer bellows in the elasticity of the range of axial stiffness simulation calculations, and with theoretical formulas to calculate the results of comparisons. The results show that the simulation results are very close to the theoretically calculated values, i.e., the finite element method simulation method can be used to simulate the calculation of stiffness values, which provides a reference for the structural analysis and stability study of the bellows.