In order to effectively suppress the lateral vibration of the suspension system when urban rail vehicles are running, and improve the stability and comfort of the vehicles, an explicit genetic adaptive fuzzy control method is introduced that has a better control effect than traditional fuzzy control. The convergence conditions are extended and the method is proved to be suitable for the suspension system of urban rail train which expands the application range of this method. In Matlab/Simulation, a vehicle suspension system model is built based on the parameters of a certain type of urban rail train at a speed of 80 km/h, and an explicit genetic adaptive fuzzy controller is designed for simulation. The simulation experiment results show that the explicit genetic adaptive fuzzy control has a good effect on suppressing the lateral vibration of the urban rail train suspension system. Under its control, the maximum value, root mean square value and power spectral density value of the vehicle's lateral composite acceleration, lateral vibration acceleration, roll vibration acceleration and shaking head vibration acceleration are all reduced. Compared with ordinary fuzzy control, the explicit genetic adaptive fuzzy control can effectively suppress the lateral vibration of urban rail trains and greatly improve passenger comfort.