This paper introduces a modeling approach for the shaking table systems to reproduce the actual dynamics on a computer. In the shaking table system, since the acceleration reproducibility is deteriorated by effects of disturbances, advanced controllers to compensate for the detariorations should be designed to achieve the high precision seismic tests. In the controller design phase, the control performance is generally verified by numerical simulations. Therefore, it is important to construct high precision simulators that precisely simulate effects of disturbances. In addition, the simulator should be required to construct and modify the model such as shaking mechanism and/or specimen. In the modeling approach of this paper, the shaking table mechanism including the specimen is modeled using a multi-body dynamics software, while the control system and physical model of actuator are constructed on a control CAD software. By integrating both softwares, whole dynamics of the shaking table system including the control system can be precisely simulated. In this paper, the overturning moment and reaction force from the specimen are especially simulated, which are main deterioration factors of the acceleration reproducibility. The validity of the simulator have been verified by comparing with experimental results using two different types of laboratory shaking table systems.