The nuclear power plants operating entities aim to generate electrical energy in safe conditions. From the point of view of nuclear safety, this implies achieving an adequate integration of human, technological, organizational and environmental factors to prevent events that lead to damage to the reactor core. This article presents a qualitative model based on the system dynamics methodology that describes the management of the operation of a nuclear power plant. The work is based on previous works, a literature review, and interviews with experts from the nuclear industry. Seven loops of causal reinforcement and three loops of casual balance are broken down in detail. In this way and through the dynamics postulated, it is described how an operating organization of a nuclear power plant manages its nuclear safety. In this way and as an emergent of the safety management model, it shows the various organizational resilience mechanisms to manage the risk of nuclear accidents. The study results indicate that compliance with the regulatory framework, safety standards, and recommendations of international organizations are the main reinforcing elements of safety. Additionally, the system's effectiveness in managing events, daily deviations, and breaches in compliance verification instances, whether routine or spontaneous, is also crucial for ensuring safety. The model also shows that this effectiveness is achieved through the success of safety culture and leadership programs