Surface acoustic wave(SAW) propagation properties including propagation phase velocity, power flow angle(PFA), anisotropic factor, electromechanical coupling factor(k2) and temperature coefficient of frequency(TCF) are calculated in an optimal region defined by Euler angle (90o,0o~20o,0o~180o) for LGS crystal. It is concluded that the Euler angle (90o, 20o, 122.23o) and (90o, 17.5o, 121.9o) possess superior SAW performance, which have zero PFA, low TCF and moderate k2 simultaneously. We can give priority to these cut-types in the SAW applications at high temperature.