Rigid-perfectly plastic model in incompressible medium was used in this paper. By setting up kinematically admissible velocity field, static resistance of medium to projectile was analyzed with upper- bound theorem of limit analysis. Kinematical resistance of medium to projectile is considered in terms of the law of conservation of momentum. Dimensional effect of the structure and the shape of projectile are also considered. Through adopting incremental calculation about the equation of projectile’s motion,the veloci?ty, acceleration,resistance and time in the process of penetration were obtained. By comparison of the result of calculation with empirical formulas, the reliability and practicality of the method are proved.