Ab initio calculations using an sm3G basis set are reported for a variety of known inhibitors of glyoxalase I (esculetin, isoesculetin, ascorbic acid, maltol, etc.). Experimental investigations suggest that these inhibitors function as transition state analogs; and molecular electrostatic potential maps of the substrate of the enzyme, a variety of possible intermediates, and the inhibitors were calculated and compared. It was found that the most effective inhibitors have the distance R between the OH minima of -3.4 A. Suggestions for other inhibitors are made on the basis of the calculations.