Hemodynamic instability as a symptom of critical illness is a leading cause of morbidity and mortality in intensive care units (ICUs). Effective hemodynamic monitoring strategies are associated with accurate evaluation of cardiovascular functioning and timely therapeutic interventions. In the last twenty years, hemodynamic monitoring has been improved to move beyond the traditional methods of monitoring based on pressure, into dynamic, functional, and multimodal fields that incorporate physiology, technology, and clinical conditions. The article presents an overview of hemodynamic monitoring strategies in critical care practice, which synthesizes the classical ideas, the current evidence, the guideline-based guidelines, and the innovations. It is highlighted focusing on monitoring concepts and their invention, invasive and non-invasive modes, functional hemodynamic evaluation, its clinical use in shock conditions, constraints and traps, and the future with references to digital health and artificial intelligence. Through a combination of evidence-based approaches and patient-centered decision-making, hemodynamic monitoring can shift to a focus of data acquisition to meaningful outcomes improvement in critically ill patients.