The uniformly anisotropic medium is reconstructed as a lossless isotropic one in electricity, and its scattering cross section is developed. In primary coordinate system, the scattering cross section of a lossless anisotropic dielectric sphere is obtained. It is found that when the anisotropic medium is an isotropic one, the scattering cross section of this sphere is in agreement with the famous Mie theory, so the validity of the gaining result is tested. Simulations show that the scattering cross section is proportional to the element of the dielectric constant tensor and varies with the incident wave direction. For the scattering of a complex anisotropic medium target, this result provides an evaluation criterion.