The Egyptian population is making a noticeable Progress concerning fertility and mortality. This Progress started as early as the Second World War. In this study, some fertility and mortality indicators were selected. Using time series analysis, two types of models considered in the analysis. The univariate and the intervention models are considered. The best model for each indicator was estimated and checked. These models were used to get predictions till 2020. The steps as well as the method for selecting the best model are presented. The predicted values for the fertility and mortality measures are given.