Abstract: This paper presents a numerical solution of unsteady supersonic flows for sideslipping wings by means of the characteristic lines network method of unsteady supersonic sources distributed on the wing plane. This paper provides the oscillating mode of undulatory, pitching and rolling harmonic oscillations of the wings with sideslip angles and the methods to calculate its lift, moment coefficient and dynamic stability derivatives （including cross-coupling derivatives）. The dynamic stability derivatives of a typical wing with sideslip angle equal to zero were worked out both by analytical formula in conformity with the conventional quasi-stationary theory and by the present method, and were compared and examined. The results show that the present method is satisfactory.