Abstract: This paper adopts Euler-Lagrange variational principle toresearch the compression behavior of hollow cylinder composed of elastomericfoam, and establishes nonlinear differential equations about itsaxisymmetric plane strain problem based on Blatz-Ko material model. Aparametric analytical solution is obtained through the parametertransformation. Finally by utilizing the corresponding numerical case, thevariation rules of radial stress and tangential stress along the radial ofcylinder, and the influences of magnitude of interference aresummarized.