Introduction <p>Porous functionally graded (PFG) sandwich plates, as special composite structures, exhibit vibro-acoustic performance that is influenced by multiphysics loads.</p> Methods <p>This article first established a dynamic theoretical model of PFG sandwich panels under electric-magnetic-thermal effects and acoustic radiation under the excitation of the point source based on the first-order shear deformation theory and Hamilton’s principle. By using the Rayleigh-Ritz method, incorporating double Fourier cosine series and auxiliary polynomial functions, the natural frequencies and acoustic responses under different boundary conditions and multi-physics fields are obtained.</p> Results <p>The correctness of the theoretical model has been confirmed through comparison with finite element simulation. Then, the effects of boundary conditions and parameter variations on the free vibration and acoustic radiation of the structure are analyzed.</p> Significance <p>The results are very helpful for the optimization and design of the PFG structure under the action of multi-physics fields.</p>