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For mooring design of a floating barge, analysis is essential for the behaviour of the barge in connection with mooring facilities having non-linear resilient characteristics. Its treatment, however, is fairly complicated and it will take much time to get the numerical results. In this paper, formulation is made of a linearized mathematical model based on the describing function method, which can be used to obtain rough estimate as to whether the designed mooring system is safe especially in gust wind. Obtained numerical results by the present method are compared with those by the non-linear calculation by Runge-Kutta-Gill method and fairly good agreement is shown. The present method, therefore, is considered to be useful for obtaining estimate for the mooring system design.