The post-post-Newtonian equations of motion for the point particles using the EIH approximation method are derived. These equations are deduced from the gravitational field equations with the stress-energy tensor proposed by Infeld and Plebanski. The Infeld-coordinates and EIH-coordinates are used. Regularization of the metric tensor and its derivatives on the world lines of particles by means of the modified Dirac \hat \delta -function, which is contained in the stress-energy tensor, has been done.

PACS numbers: 04.25.-g, 04.25.Nx