With density functional theory(DFT) and molecular mechanics method, the catalytic mechanism of silent information regulator(sirtuins) has been investigated. The calculations support the SN2-like reaction of the initial step of the catalysis, and are consistent with experiment results. We further explored the second step of the catalysis and proposed that this step took place in a concerted reaction. In addition, the side chain of Phenylalanine33 may help to shield the glycosidic bond from water and be in a position to protect the developing oxacabenium transition state from hydrolysis. Our results of the calculations support this hypothesis that the phenylalanine33 plays a critical role in the sirtuins biology function.