In this paper, a modified analytical model has been presented for clamped circular composite sandwich panels subjected to low-velocity impact by spherical impactor. The composite sandwich panel is symmetric and its composite face sheets consist of cross-ply laminates. The principle of minimum total potential energy has been used for obtaining the contact force and contact force–indentation relation. In this analytical model, the strain membrane stretching energy and the strain energy due to the bending of face sheet have been determined and the core considered as rigid perfectly plastic. Also, the two degree-of-freedom spring–mass model has been used for determining the contact force history and deflection of the sandwich panel. The analytical contact force and the deflection of sandwich panel have been compared with published experimental and numerical results and good agreement has been observed.