Multi-purpose dams play a significant role in water resources management and flood protection by storing and releasing water for a sufficient water supply. Significantly, numerous dam failures are observed in multiple regions. Natural hazards related to dams include extreme floods, drought events, earthquakes, and geological conditions. There are also human-induced impacts, such as inadequate dam operation or maintenance. Numerous studies simulate potential natural extreme events to address the wide-ranging consequences encompassing loss of human life, economic losses, and environmental effects. In addition, international commissions and federal agencies recommend and apply a general framework for dam safety and risk assessment. The current study suggests and develops a flexible framework for multi-hazard indices and risk assessment for Darbandikhan Dam, Iraq, which was impacted by successive extreme climate events, besides a strong earthquake (M 7.3) that occurred on November 12, 2017. Consequently, the earthquake led to various impacts along the dam site, including horizontal and vertical displacement in some places. In addition, consecutive years of drought led to significant shortage inflows to the dam reservoir. The current study methodology focuses on developing a multi-hazard index and risk assessment framework for each potential extreme event and failure mode scenario associated with dam operation and safety. The information required for the particular framework is through integrating the observed with a global dataset based on Geographic Information System and Remote Sensing techniques. Nevertheless, using different tools and models in dataset processing provides the acquisition of the essential input data associated with each probable severe event. The outcomes of the suggested framework will show through multi-hazard maps the affected areas (hotspots) and propagation consequences besides the residual risk and system response for each scenario. In conclusion, developing a framework of multi-hazards risks associated with dam operation provides promising outcomes for risk assessment, warning response, and evacuation tasks based on hazard maps with different spatial and temporal resolutions. In addition, the framework can be used as an assistance tool for decision support systems, planning, and environmental protection associated with multi-purpose dam operation and safety.