Abstract: Controlling the adjoint coefficient of the first order acoustic radiation mode of vibrating structure can reduce efficiently the total sound power at low frequency. The displacement of laminated composite plates can be obtained by using layerwise finite element models. A preliminary study was conducted for the natural frequency and dynamic response of the laminated composite plates. Based on the acoustic radiation mode, the effects of panel orientation angle, elastic modulus ratio, width-depth ratio and damping ratio on the adjoint coefficient of the first order acoustic radiation mode of the laminated composite plates were discussed. The results show that the natural frequency of laminated composite plates can be analyzed accurately by using the layerwise finite element models. The effects of panel orientation angle and width-depth ratio on the adjoint coefficient of the acoustic radiation mode of the laminated composite plates are significant.