SmMn 2 O 5 mullite has recently been reported to be a promising alternative to traditional Pt-based catalysts for environmental and energy applications. By performing density functional theory calculations, we have systematically investigated lattice oxygen reactivity and oxygen adsorption/dissociation/migration behaviors on low index surfaces of SmMn 2 O 5 mullite with different terminations.Based on the oxygen chemistry and thermodynamic stability of different facets, we conclude that (100) 3+ , (010) 4+ and (001) 4+ are reactive towards NO oxidation via either Mars van Krevelen (MvK) mechanism or Eley-Rideal (ER) mechanism.Concrete NO→NO 2 reaction paths on these candidate mechanisms have also been calculated. The (010) 4+ and (001) 4+ surfaces both presented desirable activities.Bridge-MnO sites on (010) 4+ surface are identified to be the most active for NO oxidation through ER mechanism with the lowest barrier of ~0.38 eV. We have also identified that on all active sites considered in the current study, the rate determining step in NO→NO 2 oxidation reaction is the NO 2 desorption. Our study gives an insight for the mechanisms of NO oxidation on SmMn 2 O 5 mullite at the atomic level and can be used to guide further improvement of its catalytic performance.