The persent work discusses the method of measuring the all components of the electro-elastic tensor for the α-LiIO3 crystal (LI). By means of theory of the thickness vibrational mode for piezoelectric plates, calculating formula of independent electro-elastic constants for LI had been developed. We measured the nonpiezoelectric-coupled elastic constants c11E and c66E by method of measuring velocity with acousto-optic synchronism, Finally, the 52 data of all components of the electro-elastic tensor and some of the electromechanical coupling factors for LI are given.