Abstract: Gordonia acuminata is the dominant and constructive species of evergreen broadleaved forests in subtropical China. According to the periodic features of its life history ,the mathematical models were established to describe the quantitative relations of the cover degrees among the young sprouts ,the young trees ,and the adult trees. The results of the simulation of the population dynamics show that, at the local scale and in the certain range of the parameters value, there may exists a stable equilibrium state. But as time passes, the population will be in the state of unstable equilibrium.