The dynamic response of two-walled long pressure vessels with flat-wound ribbons subjected to an internal pressure with rectangular shape has been analyzed with the rigid-plastic model. The models of plastic deformation are given under middle and high loadings, respectively. The formulas of the limit pressure, response time and residual displacement of the vessels are proposed. Numerical results show that the static limit pressure of the vessel is less than that of monolithic vessel, the residual displacement of the vessel is more than that of the inner shell and monolithic ones, and the shock-resistantance of the vessel is greater than that of monolithic vessel under loading pressure less than 24.5 MPa.