Over the past four decades, many events and economic and extra-economic changes questioned the relevance and validity of structural econometric models. Currently, all models are developed for a stationary process. However, this hypothesis is not usually verified. This article attempts to implement some unit root tests both in classical and modern ways. In particular, we will base our application on the tests with structural breaks time. Our investigation sample is composed about several Moroccan macroeconomic variables, namely real GDP, inflation rate, etc. Most of results of these implementation tests reveal us that all the series have undergone at least two breaks (two structural changes) at the time. The stationary is confirmed around a segmented trend, in case when that makes the reviewing the all standard stationary tests findings