The flight performance of missile can be improved by a set of adaptive wings. Assume that all the mass of each wing is concentrated on its center of gravity; the dynamical model of morphing missile is developed to reveal the effect of morphing wings on flight dynamics using the multi-body theorem of momentum and angular momentum. A collaborative methodology introducing Missile DATCOM to flight dynamics is firstly used to research multi-body motion coupled with transient aerodynamics. The results demonstrate that the proposed solution to the coupled multi-body dynamics is feasible; Morphing wings with span and sweep variation have a remarkable effect on dynamical characteristics of missile.