The dynamic finite element software ANSYS/LS-DYNA is used to numerically simulate the deformation velocity of 316L stainless steel target after the influence of shock waves induced by intense lasers with pulse duration of nanosecond scale, and a finite element model suitable under the high pressure and high strain rate conditions is established. The velocity curves obtained from the numerical simulation are compared with the previous experimental results and the validity of the above model is confirmed. In addition, the deformation velocity increases with the increase of the shock wave pressure and decreases with the increase of the target plate thickness. These simulation results provide a reference for the study of those processes, such as laser shock forming, spallation and penetration.