The mechanism of the hetero-Diels-Alder reaction of butadiene with benzaldehyde catalyzed by chiral N,NЈ-dioxide/ In(OTf) 3 complexes was studied theoretically by using density functional theory (DFT) and model system. The computational results indicate that the catalyzed reaction proceeded through a concerted mechanism via a highly zwitterionic transition state. The lowest energy barrier was 11.8 kJ mol -1 , which is 63.0 kJ mol -1 lower than that of the uncatalyzed reaction. The results indicate that the endo approach is advantageous over the exo approach, because exo transitions states suffer from more steric hindrance than the endo transitions states as a result of interactions among the substrates,