Identification of the precise nature and attributes of the time series of surface ozone data is very important and is usually the first step for control sources of precursors. In many instances, a climatic time series is generally not statistically independent but is comprised of patterns of persistence, cycles, trends or some other non-random components. This paper describes the statistical approach used to investigate the presence of chaotic behavior and ante persistence nature, trend and periodicity in surface ozone time series. In the recent past there was no permanent measurement of surface ozone data collected at this site. Hence we measured new set of data during the period from June 2011 to September 2012 here. Objective of this study is to analyze the behavior of surface zone concentration which had been observed at the urban area Chennai. The analysis is carried out for whole data series to investigate the behavior of the surface ozone pollutant in the observed period. From our result of all analysis, Hurst Exponent of air pollutant surface ozone recorded at this has anti-persistent behaviour. The maximum value of lyapunov exponent is positive (? >0) and the system is unstable, chaotic. Mann-kendall test shows the null hypothesis and no trend. From the evaluation of the power spectrum period is calculated as 98.6 days.