With the rapid development of the information technology, the requirements for surface acoustic wave devices are also increased. In order to find substrate materials with excellent surface acoustic wave performances, a detail theoretical analysis was conducted on the surface acoustic wave properties in 0.24PIN-0.47PMN-0.29PT single crystals along ［001］c and ［011］c at room temperature using the partial wave method. The relaxor ferroelectric single crystals xPb(In1/2Nb1/2)O3-yPb(Mg1/3Nb2/3)O3-(1-x-y)PbTiO3 with compositions near the morphotropic phase boundary have comparably large piezoelectric and electromechanical properties and much higher Curie temperature. From the complete sets of elastic, piezoelectric and dielectric properties of ［001］c and ［011］c poled 0.24PIN-0.47PMN-0.29PT single crystals, the orientational dependence of surface acoustic wave phase velocities, electromechanical coupling coefficients and power flow angles was calculated by the Christoffel equation with semi-infinite boundary conditions. The results indicate that 0.24PIN-0.47PMN-0.29PT single crystals along ［011］c has better surface acoustic wave properties than the 0.24PIN-0.47PMN-0.29PT single crystals along ［001］c. It is very apparent that the surface acoustic wave electromechanical coupling coefficient for 0.24PIN-0.47PMN-0.29PT single crystal along ［011］c is dramatically higher compared to along ［001］c single crystal. Also, maximum power flow angle for 0.24PIN-0.47PMN-0.29PT single crystals along ［011］c is apparently bigger than 0.24PIN-0.47PMN-0.29PT single crystals along ［001］c. Therefore, the 0.24PIN-0.47PMN-0.29PT single crystal along ［011］c with excellent surface acoustic wave properties and temperature stability is very suitable in making surface acoustic wave devices.