In this paper,considering damping material changes with frequency,the modal loss factors was calculated by using modal strain energy method,and the radiated sound power was calculated by the finite element and boundary element numerical algorithm,the acoustic radiation characteristics of plate by laying periodic perforated damping structure were analyzed. The results show that the lowfrequency band,laying period perforated and all damping is smaller difference on inhibition of plate acoustic radiation, and in some bands perforated damping effect of suppressing plate acoustic radiation little better; periodic holes proved sound radiation damping plate exists for optimal porosity and the shape of the opening; optimizing the damping material size, reducing the use of damping material.