In order to simulate the hull piping transient response subjected to an impact load, a discrete-time precise transfer matrix method was applied to write a program and simulate the shock response of naval piping system. By comparing the calculated results from the proposed algorithm with those from the pipe impact test, the validity of the method was verified. The results show that the calculated results of the acceleration and stress was precise. The finite element models of the elbows and tees were established, and the transient response of the ship pipes under impact load was analyzed. The results calculated by the new proposed method were compared with those obtained by the finite element method. The results show that discrete-time precise transfer matrix method holds a substantial reduction in computation time with high accuracy. The new method gives a reference to calculate the shock response and evaluate the shock resistance ability.