  The method of Doppler - free comb - spectroscopy for dipole transitions was
proposed. The calculations for susceptibility spectrum for moving two-level
atoms driving by strong counter propagating combs have been done. The used
theoretical method based on the Fourier expansion of the components of density
matrix on two rows on kv (v-velocity of group of atoms, k-projection of wave
vector) and {\Omega} (frequency between comb components). For testing of
validity of this method the direct numerical integration was done. The narrow
peaks with homogeneous width arise on the background of Doppler counter. The
contrast of these peaks is large for largest amplitudes of comb-components.
Power broadening is increasing with increase of field amplitudes. The spectral
range of absorption spectrum is determined by the spectral range of comb
generator and all homogeneous lines arise simultaneously. The spectral
resolution is determined by the width of homogeneously-broadening lines. The
physical nature of narrow peaks is in the existence of multi-photon transitions
between manifolds of quasi-energy levels arising for different groups of atoms
moving with velocities that satisfy to the resonant conditions 2kv=
(n+l){\Omega}, where n, l - are integers and {\Omega} - frequency difference
between comb teeth.
