In view of the topology optimization method applied in vibration and noise reduction, and the application environment of plate in actual application, topology optimization is applied on the plate with different elastic boundaries. The acoustic radiation of plate is calculated with different elastic boundary. According to the topology optimization results of plate with elastic boundary structure, the stiffeners are arranged, compared with other forms of stiffener layout, and plate acoustic radiation is calculated. The topology optimization results and the acoustic radiation of plates affected by different elastic boundaries are studied, and the influence rules are obtained. From the results of plate acoustic radiation, it can be confirmed that topology optimization has application value in vibration and noise reduction.