Based on a brief description of Corrected Smoothed Particle Hydrodynamics (CSPH) method, the discretization scheme of conservation equations in axisymmetric coordinate systems is developed and a method to determine the number of particles in the computational domain is proposed. Numerical examples for hypervelocity impact are carried out and the results clearly show that CSPH is not only a suitable method for the simulation of large deformation problems in impact dynamics, but also a new method with the advantages that can not be replaced by finite element/ finite difference method.