In this paper, the existence of low-dimensional chaos is investigated for the streamflow series of different timescales, namely, one day, 1/3-month, one month and three month, of Yangtze River streamflow process with correlation dimension method. After reconstructing state space, we calculated the correlation integral. Then, the Takens-Theiler estimator is used to correctly estimate the correlation dimension. It is found that the Takens-Theiler estimates curves are not exist plateau region, which indicates that the streamflow series of various time scales of Yangtze River streamflow process are non-chaotic.