This chapter presents a brief overview of the most significant research achievements in the field of agricultural off-road vehicle dynamics. The motivation for research in this area arose from the high rate of fatal accidents involving vehicles operating on sloped terrain. The investigation of how dynamic properties affect vehicle behavior served as the starting point for the development of new standards such as SAE, ISO, and OECD, which define safety requirements for agricultural off-road vehicles. Key definitions were established, including static stability, slope gradeability, and lateral and transversal overturning dynamics, all of which are closely related to studies of steering behavior and vehicle stability loss. With advances in computing and programming languages, new modeling software has been developed, allowing users to simulate vehicle motion and analyze various operational scenarios. Results from these simulation tools have become increasingly accurate and valuable, helping designers to optimize vehicle parameters and reduce the risk of accidents during operation on sloped ground.