Abstract: The numerical dissipation property of an explicit time integration scheme is developed for the dynamic equation of structural system. The relations between the degree of numerical dissipation (or algorithmic damping value of the explicit integration scheme) and the physical damping value and free frequency of structural system are deducted. Furthermore a problem was discussed to show the application of the explicit integration scheme to depressing or eliminating the high-frequency instability induced by Local Transmitting Boundary for the numerical analysis of wave motion in infinite domain, and also case studies were given for comparison between the explicit integration scheme and central integration scheme.