Based on the scales theory of electromagnetic wave,the law of electric field inside and outside an anisotropic medium sphere is researched.The formula of scattering field from the anisotropic targets is derived.The differential scattering cross section and the scattering amplitude etc.for the anisotropic spherical target are presented.The correctness of the obtained results is tested.Simulation results show that the scattering of an anisotropic sphere has the property of a dipole radiation.The bigger the dielectric constant is,the stronger the dipole and the scattering are.These results provide a theoretical basis for the light scattering from an anisotropic target and the identification of anisotropic targets.