Abstract: This paper analyzes statistical characteristics and time-frequency characteristics of chaos and white noise of Logist map and points out that the statistical method and traditional instruments can not be used in distinguishing chaos and noise. The method-Correlation Space Method which can distinguish chaos and noise is presented in this paper. Logist map's chaotic sequence is resulted from deterministic nonlinear equation and the iterated adjacent value must hold correlation characteristics but white noise is not this case. So correlation space which is composed of the near associated sequence is pointed out firstly, and further chaotic time series and white noise can be distinguished.