The interactions between metal cations $(Ni^{+}$, $Cu^{+}$, $Zn^{+})$ and $H_{2}$ molecule have been investigatedin detail using dispersion-corrected and -uncorrected double hybrid density functional (DHDF), gradient correcteddensity functional, ordinary density functional and CCSD(T) methods in conjunction with the correlationconsistent triple-ζ quality basis sets. Structural properties, depth of the potential well and dissociationenergies are calculated using DFT, DFT-D and CCSD(T) methods and are compared with experimental results.A comparative analysis has been made among DFT, DFT-D and CCSD(T) methods with respect to experiments.The energy components of the interaction energy have been estimated by the symmetry-adapted perturbationtheory (SAPT) to analyze the effect of various components on the interaction of the complexes. Thedispersion-corrected DHDF, mPW2PLYP-D method shows the best agreement with the experimental values.An NBO analysis has been performed to understand the orbital participation in metal ligand interaction andcharge transfer process in these complexes.