This paper presents the process of implementation Operational Excellence (OE) in companies that have achieved a competitive advantage, through the application of Critical Success Factors (CSF). With this in mind, the elements that make up this concept are defined and have been obtained from a set of 122 articles from 2005 through 2018 and are presented by different authors that applied similar concepts. The articles were selected using a series of keywords in the databases that appear in Scopus, ProQuest, Emerald, Science Direct and Web of Science and filtered in a population analysis, which we will see more in detail in the literature review. Also, the CSF that influence the application of OE were analyzed in this compendium. The study also includes an analysis and a development already carried out, that has been successfully implemented, where the steps to be followed for their execution are identified. These CSF are visualized from a Lean perspective, were we propose a type of execution. Likewise, the critical success factors of Six Sigma are reviewed for comparison. Subsequently, a description of the operation of these critical factors of Lean and Six Sigma are made, proposing a different perspective of OE.