Underwater explosion is a common phenomenon to be considered for marine and coastal structures .Although it is not wise to design such structures based on explosion loads, but having studied the explosion wave and its demotic effects, location and geometries of these structures can be improved. In this study after introducing underwater explosion mechanism a summary of the numerical methods used for propagation of explosion waves in water is introduced and finally a preferable method is proposed for modeling the phenomenon. Based on such considerations numerical results using multipurpose commercial codes are successfully compared with empirical relations.