Abstract: In order to improve the accuracy of simulation analysis for plate structural-acoustic coupling systems, the finite element-radial point interpolation method (FE-RPIM) was extended to solve the plate structural-acoustic coupling problems and the formulation of coupled FE-RPIM/FEM was presented for the plate structural-acoustic coupled systems. The finite element-radial point interpolation method was used for structure domain and the standard FEM model was used for the acoustic domain. The shape function of the finite element-radial point interpolation method is the combination of the isoparametric element shape function and the radial point interpolation function; the compatibility properties of the finite element method and Kronecker properties of RPIM were inherited. Thus, the accuracy of simulation analysis can be improved. The numerical example of a box structural- acoustic coupled model was presented, which shows that the FE-RPIM/FEM method achieves higher accuracy as compared with FEM/FEM and SFEM/FEM for the analysis of plate structural-acoustic coupling problems.