Application of Monte-Carlo method for estimating of some components of the solution of a linear algebraic equation set has been discussed. The stochastic stability for the special Monte-Carlo method with the intermediate results storage for solving linear equations has been investigated. The sufficient conditions of the stochastic stability for solving linear equation sets by the special Monte-Carlo method have been obtained. This method has allowed to solve such linear equation sets whose spectral radii of the transfer matrix moduli exceed one.