Mesh-free method,such as the SPH method,has great advantage in numerical simulation of deto-nation wave.Based on previous research,the SPH method is applied to simulate the underwater explosion process of high explosives in the paper,and the time-history curves of pressure and velocity are obtained.The numerical results are compared with the theoretical and experimental results,and these show that SPH method is suitable for solving such problems as underwater explosion with extremely large deformation and large inho-mogeneity in dynamic characteristics.The numerical results have reached high precision.