In this paper, were using moving averages to pave the Neutrosophic time series. similar to use moving averages to pave the classical time series. the difference, here were dealing with inaccurate data and values of the time series.in the Neutrosophic time series, each unit of time(t) corresponds to a range of values instead of a single value. Finally, we find that the Neutrosophic time series provide an accurate description of the behavior of the series better than in the classic. Therefore, can predict the future of the series as accurately as possible.