Expression for the long-range intermolecular interaction energy obtained by the perturbation theory method in atomic dipole approximation are used for the study of the nature of base interaction in stacked dimers formed of two neighbouring DNA base pairs. Base wave functions are computed by the CNDO-CI method. The inplane interactions are shown to give the dominant contribution into the DNA stabilization energy in vacuum. The estimations performed for the solvent effect on intermolecular interaction energy allowed us to draw conclusions about the decisive role of hydrophobic interactions in a base stacking.