Abstract: This paper performs a nonlinear dynamic stability analysis of truncated sandwich shallow spherical shells under the action of explosive impacts. Based on Reissner’s hypothesis and Hamilton’s principle, the nonlinear dynamic governing equation is obtained and solved by Galerkin method and Runge-Kutta method. Budiansky-Roth criterion expressed in terms of rigid center displacements is employed to determine the critical instability load. The effects of geometric parameters and mechanical parameters on impact critical instability load are discussed.