MP2/aug-cc-pVTZ calculations are used to analyze the interaction between hydrogen molecule and rare gas containing compounds HRgX (Rg = Ar, Kr and X = F, Cl, CN). One T-shape C-2 nu minima are located on the potential energy surface of each complex. Binding energies of the complexes corrected with BSSE are in the range of 1.3-2.9 kJ/mol at the MP2/aug-cc-pVTZ computational level, being the H-2 center dot center dot center dot HArF the most strongly bound and H-2 center dot center dot center dot HKrCN the least. Blue shift of H-Rg stretching frequencies within each subunit caused by complexation is predicted in the range of 30-200 cm(-1). The atoms in molecules (AIM) theory was applied in order to analyze the physical nature of the stabilization of these complexes. (C) 2007 Elsevier B.V. All rights reserved.