A theory is presented of the radiative transfer in a magnetized plasma with the opacity determined by the Thomson scattering. The Thomson cross section in the magnetic field is highly anisotropic and polarization-dependent. In order to cope with this situation, it is found useful to deal directly with the scattering amplitude (2x2 matrix in the polarization vector space) rather than the intensity. In this way it is possible to take into account the coherent superposition of the forward multiple-scattering amplitudes as a photon propagates. The equation of transfer is established accordingly and approximate solutions are found in the limits of small and large optical thickness. The latter solution is used to find the intensity and the polarization of thermal X-rays from a magnetic dipole star. The concept of mean free path is discussed and also it is shown that the Faraday rotation naturally comes about as a result of the multiple forward scattering.