Under the framework of classical electrodynamics, the electromagnetic radiation in magnetic anisotropic medium is studied in the present paper. The radiation power expression for electric dipole in magnetic anisotropic medium is deduced. The obtained expression in isotropic medium accords with that in the literature, and its validity is therefore proved. The radiation effect of electric dipole in magnetic anisotropic medium can be estimated by the obtained results. It has practical significance for further research electromagnetic property in magnetic anisotropic medium and effective development and utilization of magnetic anisotropic medium.