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A bivariate ordered-response probit model of driver’s and most severely injured passenger’s severity (IS) in collisions with fixed objects is developed in this study. Exact passenger’s IS is not necessarily observed, especially when only most severe injury of the accident and driver’s injury are recorded in the police reports. To accommodate passenger IS as well, we explicitly develop a partial observability model of passenger IS in multi-occupant vehicle (HOV). The model has consistent coefficients for the driver IS between single-occupant vehicle (SOV) and multiple-occupant vehicle accidents, and provides more efficient coefficient estimates by taking into account the common unobserved factors between driver and passenger IS. The results of the empirical analysis using 4-year statewide accident data in Washington State reveal the effects of driver’s characteristics, vehicle attributes, types of objects, and …