An ab initio calculation was performed on the electronic structures of MoS, MoS2-4 and Mo2S2 using relativistic effective core potential (RECP) for molybdenum, and non-relativistic ECP for sulfur. We predicted that the equilibrium bond length and the dissociation energy of MoS in ground state are 3.89 a.u. and 4.67 eV, respectively, and that the bond is a triple-bond. The ground state of MoS2-4 in Td symmetry is 1A1 and π-bonding dominates σ-donation in the molybdenum-sulfur interaction. The Mo2S2 is a model contracted from bi-nuclear sulfur-bridged clusters, and the bonding orbitals 1b1u, 1b1g and 1b2g make the dominant contribution to the stabilization of sulfur-bridged species.