Reliability of special vehicles' steel plate reflects their protection ability; it thus is important to evaluate and improve the reliability of their steel plate. The paper studies the influence of the steel plate's material parameters on its reliability in bullet penetration scenarios, where a reliability measurement model and a reliability sensitivity model are established. In the reliability measurement model, a finite element model and an intrusion simulation are constructed to obtain dangerous stress values and random material variables samples, and a BP network-based limit state function and the advanced firstorder second-moment method are then used to calculate the reliability indicator. Matrix differentiation method is exploited to obtain the reliability sensitivity corresponding to each material parameter. The results show that the mean and standard deviation of the Poisson ratio significantly affect the steel plate's reliability. In addition, the material' density affects the steel plate's reliability more than the elastic modulus. Modeling reliability and reliability sensitivity improves the theory of designing and optimizing special vehicles' bulletproof steel plates.