Bogie is one of the major critical components of the dynamic track stabilizer, and its vibration characteristics will affect the dynamic characteristics of the dynamic track stabilizer directly. It is very important to improve the running safety by analyzing the lateral vibration characteristics of the bogie. The time domain loads of the track irregularities were gained based on the U.S. spectral density of the track irregularities using the method of numerical simulate. Then the lateral vibration characteristics of the dynamic track stabilizer bogie under the excitation of the track irregularities were analyzed on the bases of the ANSYS/LS-DYNA. The results of numerical simulation and the associated experiment are basically consistent, and the analysis results can provide foundation for research on the running stationarity and safety of the dynamic track stabilizer. This research method also can provide a new effective method for further researching on the dynamic characteristics of the bogie and the dynamic track stabilizer.