In order to solve the problem of the deterioration of the vehicle vertical vibration caused by the introduction of hub motor, to study the interaction mechanism between the electric vehicle (EV) and the road, to analyze the coupling relationship between vehicle vibration and unbalanced electromagnetic force, road surface irregularity, road vibration and other factors and their influence on the vertical performance of the vehicle, the hub motor driving EV and sandwich plate road coupling model is proposed and established. The electromagnetic excitation of switched reluctance motor (SRM) is obtained with Maxwell's tensor theory, the vertical dynamic response of viscoelastic sandwich plat road system is derived analytically by the methods of Galerkin and Duhamel integral, and then the proposed solution is verified by comparing the measurement data in the references. On this basis, the effects of motor excitation, road surface irregularity, vehicleroad coupling vibration and vehicle speed on road and vehicle response are analyzed. The results show that motor excitation has greater influence on the road response, followed by the influence of vehicle-road coupling, and motor excitation make the road response increase and fluctuate. Motor excitation has greater effects on tire dynamic load, body acceleration and roll angle acceleration, followed by suspension dynamic deformation and pitch angle acceleration, and the influence of vehicle-road coupling on vehicle response is relatively small. Moreover, when driving at low speed and smooth road, the effects of motor excitation and vehicle-road coupling vibration on vehicle response is more prominent and should be taken seriously. The negative effects introduced by the comprehensive excitations need to be considered in actual engineering and vertical dynamic analysis of hub motor driving EVs.