Under the frame of classical electrodynamics, the electromagnetic radiation in magnetic anisotropic medium is investigated in this paper. The radiation power expressions for magnetic dipole and electronic quadrupole in magnetic anisotropic medium are in derived. Furthermore, the results, which are achieved by inserting the μr in isotropic medium into the obtained expressions, are agreed with the references. And the correctness of the obtained expressions is verified. The research results demonstrate that the radiation powers of magnetic dipole and electronic quadrupole are related to the μr in magnetic anisotropic medium. This conclusion is very helpful for determining the radiation effects of magnetic dipole and electronic quadrupole in magnetic anisotropic medium.