We have studied effect of alkali and alkaline earth metal cations (Li+, Na+, K+, Be2+, Mg2+) decoration on hydrogen adsorption of the organic linker of Zn-2(NDC)2(diPyTz) by employing three cluster models: diPyTz:mLi(+) (m = 1-4), diPyTz:mLi(+):nH(2) (m = 0,1,2 and n = 1-5) and diPyTz:1M(+):1H(2) (M+ = Na+, K+, Be2+, Me2+) complexes, using density functional theory (DFT) and second-order Moller-Plesset perturbation theory (MP2). The calculated binding energies show that decoration of the organic linker with alkali and alkaline earth metal cations enhanced H-2 interaction with diPyTz when compared with the pristine diPyTz. The atomic charges were derived by Mulliken, ChelpG and ESP methods. Finally, the atoms in molecules theory (AIM) were also applied to get more insight into the nature of the interaction of diPyTz and Li+. Results of AIM analysis show that N-Li+ bond in diPyTz organic linkers complex appears as shared electron interaction. Copyright (C) 2014, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.