Several theories and associated models are arising in the field of systems' continuous improvement, focused on structured solutions to face the internal or external factors that affect them. Within these theories stands out Theory of Constraints (TOC), proposed to manage the most relevant constraints that exist within an organization. In this case study, the TOC Thinking Processes approach will be applied to the Management of Operational Lean Programs, on a pilot investigation at the organization were the Case Study took place. This application aims to analyze their Lean Program's Management in order to find the constraint that inhibits the system to reach its best level of performance, in order to support the development of robust improvement solutions that can solve the identified restrictions and sustain the proposed changes over time reaching a process of ongoing improvement.