  The accumulation of dark matter particles near the primordial black holes
starts at the radiation-dominated cosmological stage and produces the central
density spikes. The spikes can be the bright gamma-ray sources due to dark
matter annihilation. We present the self-consistent derivation of the equation
of motion of particle in the metrics of primordial black hole immersed into
cosmological background. By numerical solution of this equation we find the
central dark matter density profile. The density growth is suppressed in the
central part of the profile compared with previous calculations.
