Quantum chemical calculations have been performed to analyze the intermolecular interactions in the ternary NCLi Á Á Á NCX Á Á Á HMgY complexes (X ¼ F, Cl, Br; Y ¼ H, F, Cl, Br, Li). A cooperative e®ect is observed between the lithium and halogen-hydride bonds in these complexes. The cooperative energy ranges from À1.81 kJ/mol to À5.21 kJ/mol, À3.59 kJ/mol to À9.86 kJ/mol and À4.77 kJ/mol to À14.27 kJ/mol for X ¼ F, Cl and Br, respectively (at MP2/ 6-311þþG(d,p) level). The geometrical and interaction energies analysis reveal that the lithium bond has a greater enhancing e®ect on the halogen-hydride bond. The results of many-body analysis indicate that two-and three-body interaction energies have a positive contribution to the total interaction energy. The electronic characteristics of the complexes have been analyzed through molecular electrostatic potential (MEP), atoms in molecules (AIM), electron localization function (ELF) and natural bond orbital (NBO) methodologies.