On the question about the character of the spatial distribution of the metrics inhomogeneity in the general solution of the Einstein equations near the cosmological singularity.

The question is analyzed of the influence of the stochastic vibrational regime on the properties of large-scale inhomogeneities of the metrics with the characteristic size much larger as compared with the horizon size. The description of inhomogeneities is presented in the canonical formalism with the aid of the explicit distinguishing of four physically arbitrary functions. It is shown that during the evolution one of them having the meaning of the Hamiltonian ADM density remains constant but the other three ones have a character of the random coordinate functions. For the latter ones the statistical description is obtained.