Abstract: In this paper, the problem that how stress change inference the wave velocity of anisotropic media is discussed.Firstly, the Christoffel function about general anisotropic medium under initial stress is derived and the expression between phase velocity of three modeled wave and initial stress in the media is obtained.Experiment shows that uniaxial stress can induce anisotropy.When the media is loaded under uniaxial stress, wave velocity along the direction of the stress increase maximally, while increased minimally in the direction perpendicular to the stress, the experimental results coincide with the theory.Finally, under the condition of three kinds of symmetries, the inference caused by the initial stress to the wave velocity in elastic anisotropic media is modeled by the numerical solution of the Christoffel equation.The numerical results show that:the inference caused by the initial stress to the wave velocity in anisotropic media increase with the degree of anisotropy and slower the velocity is, the greater the inference will be.