For diethylenetriamino-trioxo-molybdenum(VI), density functional theory (DFT) method calculations of the structure, atomic charge distributions, electronic spectra, natural po- pulation analyses and thermodynamic properties at different temperatures have been performed by B3LYP method using LANL2DZ, CEP-121G and CEP-31G basis sets, respectively. The calculated results show that B3LYP/LANL2DZ method can best reproduce the molecular structure. The atomic charge distribution analyses indicate that during forming the complex, the ligand of diethyl- enetriamine donates negative charges to MoO3 and these charges are accepted by molybdenum(VI) atom as well as three oxygen atoms. The electronic spectra calculations indicate that B3LYP/ LANL2DZ results are nearest to experimental data among the three methods and electronic tran- sitions are mainly derived from the contribution of bands π→π*. The calculation of the second order optical nonlinearity was carried out, and the molecular hyperpolarizability was 0.7881*10-30 esu.