Few supply chains require as much attention as those regarding aiding and rescuing disaster victims, such as the humanitarian logistics. Within this context, the Armed Forces (AF) are among the main stakeholders involved, with a long history of working in disaster response, which is the case of the Brazilian Navy(BN). For these structures to be well coordinated, their processes must be well developed and constantly evaluated. In this sense, maturity models are efficient tools that can be quickly understood and applied, helping organizations to identify their strengths and weaknesses. That said, this dissertation aims to recognize the Navy s disaster response capacity and verify possible improvements in this process, using a maturity model for disaster processes in two different situations: the COVID-19 pandemic (Situation 1) and general (Situation 2). To achieve this goal, a literature review was conducted to outline the legal support of the AF participation in these scenarios and its internal regulations. Then, a case study was conducted, where interviews with experts, participants in real scenarios, such as COVID-19 and the floods in Nova Friburgo in 2011, confirmed this documentation. The research discovered different processes that were not identified in previous studies and found out that these Military Organizations carry out some tasks but are not prescribed in the publications. BN s current stage of maturity for an emergency was also defined, reaching a final grade of 4 for both investigated situations.