Abstract In the past research into the non periodic cycles of Chinese stock market, there existed the problems of insufficient samples and time series correlation of stock prices. The authors construct a two stage process. First, the authors overcame the insufficient sampling and short term correlation by collecting and smoothing the complete original dataset. Then the authors applied R/S analysis on these worked data to probe into the non periodic cycles of stock price fluctuation in Chinese stock markets. The empirical results show that here was a non periodic cycle of 260 days in Shanghai Stock Market, and also two non periodic cycles of 350 days and 1350 days in Shenzhen Stock Market.