With the Laplace transform method, the analysis methods of impacting process of linear system were discussed. First, the impact model of the linear system was built,and the basic analysis principle and calculation formula were derived. At the same time, the convolution integral formula was also given. Second, the subsystem's transfer functions,which include mass, elasticity bar, cantilever beam,et,were derived. Lastly,the validity of this analysis method was validated by examples. The results indicated that both system's dynamic characteristics and pre-impacting motion state affected the impacting process and impacting result strongly,and the impacting restitution coefficient can't reveal kinetic phenomenon in impacting process. Compared with other methods, this analysis method have some advantages such as specific conception, higher numeric computing efficiency, and more analytic results.