Abstract: Floating airport consisting of multiple flexibly connected modules is a typical dynamic network with flexiblerigid- fluid coupling. A new method is proposed for modeling and a chain-topological network model for the floating airport is developed. In numerical simulations, the nonlinear responses of surge, heave, pitch motions and loads of connectors are analyzed implying that the classical linearization approach may severely underestimates the actual results. Further, this paper studies synergetic dynamics of the network and amplitude death phenomena. The onset of amplitude death associated with coupling stiffness and wave period are illustrated, which is important for the stability safety design of the floating airport. This work provides a new methodology and an application example in the study for network structural dynamics, including very large scale floating structures.