Going lean and green is a trend that identifies new business opportunities for organizational improvement and for competitiveness. Besides, there are quality awards to assist organizations to improve their performance among them the Shingo Prize, the Malcom Baldrige National Quality Award, the European Foundation for Quality Management. The aim of this study is to develop a conceptual framework for lean and green business organizations. To attain the paper objective in a first stage a comparison between quality awards is developed to provide a comprehensive understanding of each framework and to explore how they assist to modeling a lean and green organization. After defining lean and green management approaches, it seeks to cross-reference between the awards frameworks and lean and green culture; a number of assessment guidelines and criteria were designed to connect and integrate lean and green principles and tools. It is proposed seven different criteria and respective criterion score to assess a lean-green business organization.