  In this paper we consider dark matter particle annihilation in the
gravitational field of black holes. We obtain exact distribution function of
the infalling dark matter particles, and compute the resulting flux and spectra
of gamma rays coming from the objects. It is shown that the dark matter density
significantly increases near a black hole. Particle collision energy becomes
very high affecting relative cross-sections of various annihilation channels.
We also discuss possible experimental consequences of these effects.
