According to the design of bucket inclination angle, anchor chain shape, the draft depth and swimming area of a buoy in the mooring system, the statics of the mooring system is established by using the force equilibrium condition and the structure differential principle of the object based on the differential equation of the catenary model. The software of Lingo and MATLAB is used to calculate the inclination angle, the shape of anchor chain, the depth of buoy and the size of swimming area in mooring system. The system shape of mooring system under different wind speed is studied to draw the shape curve of the anchor chain to make the underwater acoustic communication equipment work best.