Abstract:the vibration and sound radiation of finite stiffened plate coated with decoupling layers in semi-infinite water was investigated in this paper. And Approximate analytic solution of the vibration and sound radiation of stiffened plate coated with decoupling layers were derived. Using of elasticity theory to describe the decoupling layer, response function was constructed by mode superposition theory, the material loss factor was considered by the form of complex modulus, the effects of stiffeners was treated as reverse forces, analytic model of stiffened plate with decoupling layer treatment was obtained. Using deformation harmonious conditions of the interface between stiffened plate and decoupling layer and continuity conditions of surface of fluid-structure,the vibration equation coupled by sound-fluid-structure was composed. Combined with numerical methods, the vibration and sound radiation of stiffened plate were received. Carrying out the corresponding numerical results agree well with model test results to verify the correctness of this method.