Recently, multi-hazards engineering has received more attention to analyzing the behavior of a system exposed to different types of hazards and to estimate the loss data from cascading events attributed to the primary hazard. In this paper, the principle of multi-hazards was investigated and a new methodology was developed to assess the total damage of structural elements caused by cascading hazards. For each hazard, a physical model is used to assess the conditional probability of exceeding a certain intensity level due to the occurrence of the previous hazard. The method was applied to a hospital located in California, US, subjected to the three cascading hazards (earthquake, blast, and fire). Non-linear time-history analyses were performed using seven ground motions scaled to five different earthquake levels and the seismic response of the structure was evaluated. The seismic input produces damage to the hospital's power supply (Liquid Propane Gas reservoir tank) which may cause a blast. The probability of explosion was estimated by taking into account the probabilities of fuel leakage, fuel concentration, and ignition. A set of nine blast intensity levels was considered in the analyses, corresponding to different quantities of fuel content inside the tank. Afterward, a fire hazard is generated following the explosion, whose intensity level was evaluated using the compartmental heat flux. The fire effects were modeled assuming an increment of temperature in the steel frames. The proposed multi-hazard approach can be used for both improving the structural safety and reducing the building life cycle costs to enhance in the end, the resilience of