  The connection between dark matter and giant black holes in the galactic
nuclei is investigated. The joint evolution of dark and luminous matter in
averaged self-consistent gravitational potential is considered. It is shown
that the distribution of dark matter remains spherically symmetric even in
presence of essential asymmetry of luminous matter in the galaxy.
  The kinetic equation describing evolution of dark matter particles
distribution function which takes into account their dynamics in gravitational
potential and scattering on stars is derived. It is shown that significant flux
of dark matter on a seed black hole in the center of galaxy should appear. The
growth law of seed black hole due to absorption of dark matter is derived. It
appears that during the lifetime of galaxy the seed black hole should grow
significantly, up to observed value. Brief analysis of observational data shows
that the presented theory is in reasonable agreement with observations.
