Abstract: Aiming at the problem of interference fit between missile adapter and launch tube, this paper develops theoretical expression for the displacement and stress of compressible elastomeric foam hollow cylinder and incompressible rubber hollow cylinder under pressure based on mechanical equilibrium. And a set of nonlinear equations for solving the problem of interference fit between missile adapter and Launch Canister is established. The finite element results are in good agreement with those of theoretical soultions except that the the circumferential stress by the finite element method has larger error when diffent stress exists at the material connecting surface and the interference fit surface. The variation of stress and displacement along the radial of cylinder is revealed and theoretical basis is provided for designing missile adapter.