In this paper, the dynamic stability of a viscoelastic circular cylindrical shell subject to an axial compressive force and a uniformly distributed radial compressive load is discussed. By using the Laplace transformation, stability conditions of viscoelastic shell under constant loads are yielded. By synthetically using the classical dynamic methods, the various dynamical properties for the dynamical system defined by the viscoelastic shell and the parameter has effect on the stability of structure are obtained.