Abstract： The compression mechanism of rubber hollow cylinder in damping elements was studied. First, based on the axisymmetric plane strain assumption, the geometric description of rubber hollow cylinder was conducted. Next, combined with the incompressible polynomial constitutive model, the analytical formula of stress for the rubber hollow cylinder was obtained. After that, the numerical model of rubber hollow cylinder in corresponding boundary condition was built, and the stress response obtained by simulation was compared to the results calculated by the analytical formula. Finally, the influence of the change of compression on the stress of rubber hollow cylinder was analyzed. The analysis shows that with the increase of compression, the radial stress and tangential stress increases, the increment stays the same, the stress of the boundary layer is proportional to the amount of compression, when the amount of compression is less than 1%, and the difference in tangential stress of the inner and outer surface is small.