We propose an application of WKBJ approximation to hydro-elastic behavior of VLFS, since the method is not time consuming although the theory involve all environmental influence such as the bottom topology, break water and so on. The hydro-elastic behavior of VLFS is treated as wave propagation in the platform. This method is applied to the 5000m-class floating-airport with the variation of the bottom topology as an example. We also discuss on the average momentum equation beneath VLFS. Some interesting results about the set-up or the set-down of VLFS are derived. The formula of drifting force with arbitrary bottom topology is also obtained.