This paper reviews the principles, methods and technologies for the research of motion and vibration control of road vehicle. Firstly, the general principles of dynamics are summarized comprehensively and systematically, and their internal relationships are presented from different points of view; Hamilton's principles for the mechanical and control systems are compared, and the canonical equations are derived; the symplectic solution methodology is introduced, which will benefit the crossover among multidiscipline by the unified mathematical expression; the modeling theories of Finite Element Method (FEM), rigid, flexible and rigid-flexible coupling multibody dynamics are put forward theoretically and methodologically; the qualitative and quantitative methods for the study of motion and vibration are presented. Secondly, some representative phenomena of road vehicle, including the stress and dynamic stiffening, bifurcation and chaotic motion etc., are examined. Thirdly, the Virtual Proving Ground (VPG) technique is introduced, and some researches related to vehicle dynamics active control, including NVH control, Integrated Chassis Control System (ICCS) and Adaptive Cruise Control System (ACCS) etc., are provided. Finally, a few perspectives on the motion and vibration control of road vehicle in the near future are advanced.