In this paper, the method of DFT-B3LYP was firstly used to optimize the geometry configurations of 1,4,7,10-tetrakis(2-hydroxyethyl)-1, 4,7,10-tetra-azacyclododecane(thecl2) and it's Na^+ complex, [Na(thecl2)]^+, at the 6-31G(d) level, the vibration frequency and bond energy of [Na(thecl2)]^+ , then, was calculated. The result shows that the complex [Na(thecl2)]^+ have two configurations of hepta-, and octa-coordination. They are both received in experimentation for close energies. Evidently, coordinate bond of Na^+ -O is stro...