A general theory of magneto-light-induced rotation of the plane of pol
arization of the probe signal in resonant medium is developed. The pro
pagation of an intensive elliptically polarized electromagnetic wave t
hrough a resonant medium with arbitrary angular moments of the levels
is investigated in the adiabatic following approximation. Then the pro
pagation of counterpropagating polarized waves: an intensive pump wave
and a probe light signal, through the resonant medium in the presence
of the longitudinal magnetic field is studied. It is shown that the i
nduced anisotropy of the medium is determined both by magneto-optical
and polarization light effects and by their interference. This allowed
us to determine the local value of the external spatially-inhomogeneo
us magnetic field.