For improving the positioning accuracy of moving target with shock wave trigged scoring system, the positioning model and solution algorithm are studied. The projectile shock wave arrival time is derived by geometric method, and the velocity, hit coordinate, incidence angle of projectile are solved by nonlinear least-squares method. The model is used to simulate and analyze the influences of target velocity error, shock wave arrival time error and projectile velocity on target positioning accuracy. The simulation results show that ignoring the velocity of the fast target will lead to large target positioning error, so the velocity of the target must be considered in the modeling and solving.