On the basis of density functional theory, a scheme for efficient calculating Fukui function, local softness, and hardness within atom-bond electronegativity equalization method plus an model is delivered, By the local softness obtained through this model, we investigated the regioselectivity of Diets-Alder reaction in light of local HSAB principle, and the result is in accordance with experimental and theoretical results. Moreover, we demonstrate for the first time that the maximum hardness principle is obeyed in the stereospecific Diets-Alder reactions, i.e., compared with exo isomer, the more stable endo isomer usually has larger hardness value, consequently, composes the main product. (C) 2002 Elsevier Science B.V. All rights reserved.