This chapter explores the application of failure mode and risk analysis (FMRA), particularly within the framework of failure mode and effects analysis (FMEA), as a proactive methodology to enhance safety, reliability, and business continuity in healthcare management. Originally developed in industrial and engineering contexts, FMRA has been successfully adapted to the healthcare environment to identify, prioritize, and mitigate potential process failures across the patient care continuum. By systematically mapping healthcare workflows—from emergency triage to postdischarge care—managers and clinical teams can uncover latent risks such as medication errors, miscommunication during handovers, and lapses in infection control. The chapter details how to identify failure modes, calculate risk priority numbers (RPNs), and implement corrective actions aligned with both regulatory requirements and strategic objectives. Real-world case studies from hospitals and clinical settings illustrate how FMRA enhances decision-making, fosters a culture of safety, and supports organizational resilience. Furthermore, the chapter addresses the integration of FMRA with advanced analytics, stakeholder engagement, and evolving accreditation standards. Special attention is given to sustaining improvements over time through key performance indicators and feedback mechanisms. Ultimately, the chapter positions FMRA as a cornerstone of continuous quality improvement and operational stability in an increasingly complex and risk-sensitive healthcare landscape.