Nitrous oxide reductase (N_2OR) is a key enzyme in the anaerobic respiratory pathway of denitrifying bacteria. Based on the crystallographic study of N_2OR protein, the active center exhibits a Cu_A electron-transfer center and the Cu_Z catalytic center for the function of nitrous oxide reduction. The Cu_Z center is a copper-sulfur cluster contains four copper and one sulfur and could convert nitrous oxide to dinitrogen gas; N_2O+2e^-+2H^+→N_2+H_2O. The detail catalytic mechanism of N_2OR still is not fully understood yet. Biomimetic and bio-inspired model approaches could help chemists to evaluate and explore the structure and catalytic activity of modeling compounds of N_2OR. These approaches also help scientists to understand the detail reduction mechanism of nitrous oxide reductase.