In this paper we represent the numerical algorithm of constructing the solution of the inverse problems to inverse geoelectrical problem in quasistationary approximation [1].
We apply statistical simulation method [2] on the base of reducing the original problems in the form of PDEs to the one-parameter set of Fredholm's integral equations of the second kind.
The main idea of the algorithm proposed is combining of the projection method, the dynamic Gelfand-Levitan metod and the Monte Carlo method.
We consider the inverse geoelectric problem, namely the determination of the permittivity, permeability and conductivity of the medium, from the system of Maxwell's equations with corresponding boundary-initial data and additional information. This task is is closely connected with the practical needs of geophysical exploration.
The comparative numerical experiments were held.

[1]. V.G.Romanov, The Inverse Problems of Mathematical Physics, Novosibirsk, "Nauka", 1984.
[2]. Mihailov, G.A., The Optimization of Weight Monte Carlo Methods, Novosibirsk, "Nauka", 1987.