Starting with the self-organized evolution of the trader group’s structure, a parsimonious percolation model for stock market is established, which can be considered as a kind of betterment of the Cont-Bouchaud model. The return distribution of the present model obeys Lévy form in the center and displays fat-tail property, in accord with the styl-ized facts observed in real-life financial time series. Fur-thermore, this model reveals the power-law relationship be-tween the peak value of the probability distribution and the time scales, in agreement with the empirical studies on the Hang Seng Index. Starting with the self-organized evolution of the trader group’s structure, a parsimonious percolation model for stock market is established, which can be considered as a kind of betterment of the Cont-Bouchaud model. The return distribution of the present model obeys Lévy form in the center and displays fat-tail property, in accord with the stylized-ized facts observed in real-life financial time series. Fur-thermore, this model reveals the power-law relationship be-tween the peak value of the probability distribution and the time scales, in agreement with the empirical studies on the Hang Seng Index