Abstract: The movement of deployable systems consists of mechanism motions and elastic deformations. The multibody dynamics is implemented by the finite element method using the natural coordinate. Based on the minimum strain energy method with the rigid body hypothesis and the Lagrangian multiplier method, the fundamental equations of multi-body kinematics were derived. Then the dynamic equations considering the mechanism motions and elastic deformations were given based on the Hamilton principle. In order to obtain the moving principle of Pantadome systems, the deployment simulation of a simplified Pantadome structure was carried out. The results show that the proposed method is feasible and efficient. Moreover, the changing of configurations and mechanical states of the Pantadome during the movement is significant. Furthermore, the numerical example also shows that the deployment degree relates to the design of the system. An excessive deployment will have negative effect on the behavior of Pantadome system.