Abstract: Surface acoustic wave propagation in the layered PMN-PT/elastic substrate is studied in this paper. The surface of the piezoelectric layer is mechanically free, and the electric boundary conditions are electrically open and shorted. The electro-elastic fields satisfying the governing equations and the boundary conditions are derived, and the dispersion equation of the elastic wave in the structure are obtained. The influence of the polarization direction of the PMN-PT on dispersion relations and the electromechanical coupling coefficients are analyzed. The variation curves of the elastic displacement and electric potential with the depth direction of the layer piezoelectric/elastic half-space structure are plotted when the PMN-PT is poled along two different directions. The obtained results may be useful for the application of the high-frequency surface acoustic devices.