To analyze and study the navigation performance of amphibious armored vehicles and improve the in-water performance of amphibious armored vehicles, thereby realizing the development of amphibious vehicles in the context of computer virtual technology, this study starts from the discussion of driving simulators and explores the navigation stability of the amphibious armored vehicle. First, the slope resistance, air resistance, soil adhesion, and other factors are considered, and the dynamic models of the amphibious armored vehicle traveling on the ground and the water from the land are established. The latter is simulated and analyzed. Second, the model test and integration are combined with the system identification thought of the genetic algorithm, and a discriminant model for the rolling motion of the amphibious armored vehicle is constructed. Finally, the application effect of the discriminative model is verified by the experimental design and lateral body arrangement of the vehicle on the water. The results show that the acceleration, speed, and position changes of the vehicle are consistent with the actual situation, and the simulation analysis works well. The relative error rate of the predicted value curve obtained by the identification method proposed in this study is smaller than the calculated value of the linear equation and is closer to the experimental measurement value. The method and the corresponding mathematical equation model are reliable and applicable. There are differences in the vehicle rolling amplitude changes under different side body schemes. Schemes 1 and 2 show larger rolling amplitude changes. The results of segment identification indicate that the scheme in this study can explain the waveform phenomenon to a certain extent. The exploration of the rolling motion of the amphibious armored vehicle based on wave resistance on the water is of great significance in the research of its navigation stability on the water.