Epoxy supports (Eupergit C) may be very suitable to achieve the multipoint covalent attachment of proteins and enzymes, therefore, to stabilize their three-dimensional structure. To achieve a significant multipoint covalent attachment, the control of the experimental conditions was found to be critical. A three-step immobilization/stabilization procedure is here proposed: 1) the enzyme is firstly covalently immobilized under very mild experimental conditions (e.g. pH 7.0 and 20 degrees C); 2) the already immobilized enzyme is further incubated under more drastic conditions (higher pH values, longer incubation periods, etc.) to "facilitate" the formation of new covalent linkages between the immobilized enzyme molecule and the support; 3) the remaining groups of the support are blocked to stop any additional interaction between the enzyme and the support. Progressive establishment of new enzyme-support attachments was showed by the progressive irreversible covalent immobilization of several subunits of multi-subunits proteins (all non-covalent structures contained in crude extracts of different microorganism, penicillin G acylase and chymotrypsin). This multipoint covalent attachment enabled the significant thermostabilization of two relevant enzymes, (compared with the just immobilized derivatives): chymotrypsin (5-fold factor) and penicillin G acylase (18-fold factor). Bearing in mind that this stabilization was additive to that achieved by conventional immobilization, the final stabilization factor become 100-fold comparing soluble penicillin G acylase and optimal derivative. These stabilizations were observed also when the inactivations were promoted by the enzyme exposure to drastic pH values or the presence of cosolvents.