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The vehicle vibration acceleration is an important parameter which reflecting the state of vehicle vibration and the quality of wheel/rail contact. A NARX neural network prediction model of vehicle system was established combined with the vehicle dynamics model,which reflecting the relationship between the track input parameters and the vehicle vibration. In order to improve the prediction precision,the number of time delay and hidden nodes are determined through traversing method. The validation results based on simulation data from SIMPACK model,show that the model output and target output is of high relevance and smaller root mean square error values,the model can well predict the change trend of vehicle vibration acceleration. The model validation based on the measured data,further proved that the proposed method can predict the output of vehicle vibration acceleration with high precision and perfect generalization.