For the first time, the ion distribution function over energies and directions of the motion for He+ in He and Ar+ in Ar is measured at the arbitrary value of the electric field by the method of the plane onesided probe. The experiment is carried out under conditions when the ion velocity acquired at the mean free path is on the order of and larger than the average thermal velocity of atoms and resonance recharging is the dominating process in plasma. The obtained results make it possible to conclude that, in independent gas discharge plasma, even at moderate fields where E/P = 10–20 V (cm Torr), the ion distribution function can have noticeable anisotropy and can strongly differ from the Maxwellian distribution.