The overall objective of this research work is to map Lean initiatives in Moroccan companies, to understand the implementations in terms of Lean tools and continuous improvement project and also to identify the adaptations and adjustments necessary to the application of the Lean approach taking into account local specificities related to culture, history, geographical location and technical and organizational aspects. In this context, we will present a state of the art on previous research that has addressed the issues of productivity, hunting waste and implementation of continuous improvement approach and operational excellence in Moroccan companies. We will then focus on the problem of the maturity of Lean management and the self-assessment tools of the Lean maturity that we intend to develop and adapt for Moroccan companies and especially SMEs.