By kinetic model, the analytical expression of the distribution function for the hyperbranched polymers formed from AB(2) type polycondensation with substitution effect was derived. The results are compared to those for self-condensing vinyl polymerization of AB* monomers. Reaction becomes faster with the increasing reactivity of a linear B group. At any finite conversion of A group, both average degree of polymerization and dispersity increase with the increase of low rate constant. r (ratio of the reactivity of a linear B group to that of a terminal B group). However, the variation of these parameters is moderate if r > 100 and they converge to respective limiting value. The average degree of polymerization and dispersity are much smaller than that of self-condensing vinyl polymerization of AB* monomers at the same conversion. (c) 2005 Elsevier Ltd. All rights reserved.