Density functional theory has been used to study the mechanism and stereospecificity of the catalytic reaction of human glyoxalase I. We used the quantum mechanical cluster method to model the enzyme active site. Glyoxalase I accepts both enantiomers of the hemithioacetal between methylglyoxal and glutathione and converts them to the S-D enantiomer of lactoylglutathione. We have compared several previously suggested or alternative reaction mechanisms for both substrates on an equal footing. The results show that the coordination shell of the Zn ion in the optimized geometries is more symmetric than in some inhibitor crystal structures, which we assign to differences in the electronic structure and the protonation states of the substrate. Th...