E.L.Korotyaev, A.B.Pushnitski Scattering by anisotropic potential in a constant electric field (29K, LaTeX Version 2.09) ABSTRACT. We consider the scattering of a particle on anisotropic potential in a constant electric field. We obtain conditions on anisotropic decaying of potential, giving the asymptotic completeness without modification of wave operators. We use the mixed approach, applying the Enss method to one part of variables, and the smoothness technique -- to the other part.