Here, Ei , pi are the energy and momentum of an electron in the centre-of-mass system before scattering. As it was shown in c1, 2, 41 in the frames of (l)-(2) the resonances may arise only at the onward or backward scattering of a small angle 6 N w/pi < 1 (0 is the angle of scattering). Thus, the nonregion is defined by (in the centre-of-mass Non-resonance electron scattering in the presence of two electromagnetic waves, for q, 4 1, is investigated theoretically. The expression for partial section of electron scattering with radiation and absorption of arbitrary number of external field photons is obtained. This expression is analyzed for different electron energies. The cross-section dependencies of electron angular scattering is presented for different wave polarizations. system):