Abstract: The meshless material point method (MPM) is introduced to solve the problems that when a bomb is exploded near the building, an analysis on the combining effects of blast wave and fragments on the concrete wall involves the multi-physics field calculations and multi-material coupling. The explosion field, bomb fragments and deformation and fracture of the concrete wall resulted from explosion of bombs with and without a metal case are numerically simulated by using the characteristics of the MPM that a moving boundary or material interface can be easily traced, and the coupling conditions of multiple materials are automatically satisfied. Calculated results show that the meshless MPM is useful for computation of multi-material explosion effect.