The wheat-germ hexokinase L, is made up of one polypeptide chain only and exhibits one active site for glucose per enzyme molecule as shown by equilibrium dialysis experiments. However, MgATP2-cannot be bound to a significant extent on the free enzyme in the absence of the hexose.Plots of the reciprocal of the reaction rate versus the reciprocal of glucose concentration exhibit a significant downward curvature, but they are linear versus the reciprocal of MgATP' concentration. The curvature of the plots with regard to glucose is modified neither by the concentration of MgATP'; nor by that of the product MgADP-. The intercepts and the slopes of the straight lines obtained versus the reciprocal of MgATP2 -concentrations give, when replotted against the reciprocal of glucose concentration, a curve concave downwards and a straight line, respectively. The downward curvature of the reciprocal plots, obtained with regard to glucose, is strongly increased by glucose 6-phosphate.The whole set of kinetic results along with equilibrium dialysis data strongly suggest that the nonMichaelian behavior is due to a mnemonical transition of the wheat germ hexokinase L,. The free enzyme very probably exists in two conformation states. The collision of any of these enzymes forms with glucose induces the same new conformation. After the binding of MgATP'; which is thus the second substrate, and the release of MgADP, the enzyme appears in one of the initial conformations which is stabilized by glucose 6-phosphate. That ligand can thus be bound on one only of the two conformation states of the free enzyme.The view that wheat germ hexokinase L, is a mnemonical enzyme gains further support from the study of the effect of denaturing agents on the reaction kinetics. Low concentrations of urea or dodecylsulfate "desensitize" the enzyme and completely suppress its non-Michaelian behavior, which clearly appears as a consequence of a conformational transition.