To deeply understand the dependence of hyperbranched polymerization on the specialties of molecular chain and chemical reaction, the reaction kinetics of nonideal hyperbranched polymerizations considering the chain rigidity and reaction reversibility are studied using the reactive three-dimensional bond fluctuation lattice model. It is found that, with the increase of chain rigidity, the formation probability of intramolecular rings decreases and less intramolecular rings with larger size are formed. It results in the increase of the degrees of polymerization and polydispersity index with the rise of chain rigidity at higher conversion. Furthermore, our simulation shows that the reversibility of reaction has strong influences on the equilibrium state and kinetic process of hyperbranched polymerizations. When the ratio of reverse reaction probability to forward reaction probability is larger, the conversion and degrees of polymerization quickly grow to the equilibrium value simultaneously. At smaller reverse reaction probability, however, the weigh-average degree of polymerization and polydispersity index further increase slowly after approaching the equilibrium conversion. Our results are well-consistent with the experiments to indicate that the introduction of the specialties of macromolecule and chemical reaction are necessary for quantitative analysis of the realistic hyperbranched polymerizations. (C) 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 50: 27052714, 2012