Density functional theory (DFT) calculations are employed to investigate the full catalytic cycle of CO oxidation by N 2 O on yttrium oxide clusters Y 2 MO 5 (M ¼ Y, Al) in the gas-phase. Extensive structural searches show that both the ground-state structures of Y 3 O 5 and Y 2 AlO 5 contain an oxygen radical (O t c)which plays an important role in CO oxidation. Energy profiles are calculated to determine the reaction mechanisms. Molecular electrostatic potential maps (MEPs) and natural bond orbital (NBO) analyses are employed to rationalize the reaction mechanisms. The results indicate that the whole catalytic cycle for the reaction CO + N 2 O / CO 2 + N 2 , conducted by yttrium oxide clusters Y 2 MO 5 (M ¼ Y, Al), is favored both thermodynamically and kinetically. Moreover, compared with the previous report on di-nuclear YAlO 3 + c and Y 2 O 3 + c, it's obvious we can conclude that tri-nuclear Y 3 O 5 and Y 2 AlO 5 exhibit greatly enhanced catalytic activity toward CO/N 2 O couples.