Sustainable management for green competitiveness has been mentioned in the lasting researches based on various theories as to the transition theory, social responsibility theory (CSR), sustainable supply chain management theory (SSCM), the theory of planned behavior, and the contingency theory. Our purpose is to know which management theory is the most reliable in defining the intersection of management theories, sustainability, and green competitiveness. Therefore, a new interpretation must be parallel to cover all sustainability aspects: people, economics, and the environment. PRISMA-SCR (Preferred Reporting Items for Systematic reviews and Meta-Analyses for Scoping Reviews) methodology was used to develop a greater understanding of relevant terminology core concepts, and key items to report for scoping reviews.