In this paper we investigate the chaotic behavior of time series of Earthquakes regressive in Mosul Dam. Measurements and indicators of statistics that are applied, using a binary technical test, the 0-1 test for chaos, as well as identify some of statistical and chaotically characteristics features for the real observations. The detail analysis shows through this work that the time series Earthquake regressive in Mosul dam is not independent and behave non-periodic chaotic and irregular. its behavior cannot be predicted in the long time.