Abstract: The Reproducing Kernel Particle Method, a new type ofmeshless method, is adopted in this study, for numericalsimulations of high-speed impact processes. The relatedcontrol equations are obtained and the Bordner-Partom constitutive modelis used for large strain and high strain-rate when the material is under ahigh-speed impact. A new method is proposed for the treatment of interfaces,and the Velocity Collocation Method(VCM) is used to meet the speed requirement of the interface and its boundary.Numerical simulations show that the Reproducing KernelParticle Method can correctly simulate the high-speed impact processwith velatively high degree of accuracy.