This paper analyzed relationship between train's lateral vibration and track irregularity input by wavelet transform and the cross-correlation function. Track irregularity input leaded to train lateral vibration,it analyzed the relationship between them to reduce the lateral vibration and predict of vibration changes. Firstly,it established train lateral vehicle model by Simulink,and then simulated lateral,rolling and yawing vibration signal. Secondly,it analyzed relationship between three kinds of vibratio...