To investigate the vibration and acoustic properties of the baffled functional gradient plates with general boundary condi? tions under turbulent excitation， a vibro-acoustic coupling model of the functional gradient plate under turbulent boundary layer wall pressure fluctuation is developed by the energy method based on the turbulent pressure fluctuation cross-spectral density， Cheby? shev spectral method， Rayleigh integral and the continuity condition of the fluid-structure coupling surface. The accuracy of the al? gorithm is verified by the agreement with the analytical solution and experimental results. The effects of the general boundary condi? tion and the gradient index of the FGM plate are studied. It can be noted that when the stiffness of the boundary spring is in a cer? tain range， the peak frequencies of the flow-induced acceleration level and sound pressure level increase with the rise of the spring stiffness. When the stiffness of the boundary spring is large， low vibration and radiated sound exist at low frequency， while the radi? ated sound pressure is high at high frequency. As the gradient index increases， the peak frequency increases gradually， but the peak responses of the acceleration level and sound pressure level decrease.