  We consider the influence of Faraday rotation in chaotic magnetic field on
the intensity and linear polarization of multiple scattered radiation.
  All fluctuations are assumed as Gaussian type and isotropic. The values of
magnetic field are less than $10^5$Gauss. In this case the parameter $
\omega_B/\omega=(eB/m_ec)/\omega\simeq 0.93\cdot
10^{-8}\lambda$($\mu$m)$B($G$)$ is small and the radiation scatterings are the
usual scatterings on free electrons. Only the Faraday rotation influences on
the intensity and polarization of radiation. We consider the Milne problem in
the electron magnetized atmosphere without the mean magnetic field. We found
that chaotic magnetic field does not increase the number of H-functions,
describing the Milne problem. There are four H-functions as in the Milne
problem for non-magnetized case. The calculations demonstrate that the
polarization of outgoing radiation diminishes strongly with the increasing of
the level of magnetic fluctuations. The calculations can be used for
estimations of inclination angle $i$ of accretion discs and the level of
magnetic fluctuations.
