The admittance problem of an antenna imbedded in a homogeneous anisotropic medium in which the dielectric tensor is given by the form in eq. (1) is formulated by the theory of Fourier transforms, and analyzed with the aid of the Wiener–Hopf technique. The current distribution and the input admittance of an infinite and finite antenna are evaluated approximately under the following assumptions: (1) the medium is loss free, (2) (radius of the antenna/wavelength) [Formula: see text], (3) the nondiagonal elements of the dielectric tensor are very small compared with its diagonal elements and ωp < ω < ωe (ωp, ω, and ωe are the plasma, signal, and cyclotron frequencies), (4) (antenna length/wavelength) is not small. Our present results have forms similar to the well-known solutions in an isotropic medium, except for two distinctions. The first is that a circulating current flows on the antenna, although its magnitude is very small. The second is an additional resonance phenomenon due to the interaction of two traveling current waves with slightly different propagation constants.