The overall objective of this research study is to map the Lean initiatives in Moroccan companies. Understanding in place in terms of Lean tools and continuous improvement project. Identify adaptations and adjustments necessary for the implementation of the Lean approach taking into account local specificities relating to culture, history, geography and the technical and organizational aspects. In this context, we present a state of the art on earlier research dealt with productivity issues, from war on waste and implementation process of continuous improvement and operational excellence in Moroccan companies.