The numerical solution of the Milne problem for semi-infinite plane-parallel magnetized electron atmosphere is obtained . It is assumed that magnetic field is directed along the normal to the atmosphere . The angular dependence , the polarization degree and positional angle of outgoing radiation are presented in the tables for various values of the Faraday rotation parameter and the degree of absorption q=0 , 0.2 and 0.4 . We assume that magnetic field B \leq 10 ^ { 6 } G when one can neglect the effects of circular dichroism and take into account only the Faraday rotation effect .