Industry 4.0 offered the application of the advancing business operations with innovative digital technologies. With this new industrial era, management systems for example Lean and green management should incorporate the progress in digital technology. Lean and green management is deployed in all organizational areas and all types of industrial sectors, but it isn’t yet understood how Lean and green practices will progress in this digitalization era. Companies must have a tool to evaluate the existing transformation level of Lean and green management. Therefore, this paper proposes a baseline framework to design an assessment model as regards to the implementation of Lean and green management in an Industry 4.0 environment. Different dimensions were identified namely: “leadership and strategy”, “people”, “process”, “product”, “customer”, “supplier”, “governance”, and “technology”. Several measurement items which are grouped into the dimensions are proposed to illustrate what can be measured in the current state within the industrial companies. Managers can adapt their businesses by knowing how to execute a Lean and green system in the new digitalization era. This research aims to contribute to the discussion of the relationships between these two subjects.