The P2P applications tend to be important in nowadays Internet, and BitTorrent(BT) is one of the most popular P2P applications. This paper analyzes the distribution of BitTorrent seeds and its properties with the data measured from the Web server of BitTorrent. The Gini coefficient is introduced as the index of the distribution of the seeds in BitTorrent system to demonstrate the evolution of the seed distribution. The Largest Lyapunov exponent is also employed to analyze the stability of the emergent structure of the seeds. The results show that in a BitTorrent system the seed distribution is not inequality, but its evolution is steady and the inequality doesn’t enlarge with the participants’ increasing.