The equation of the combined motion of a Shinkansen train (bullet train), rail, and the railway structure is described, and an efficient numerical method to solve the combined response is discussed. Mechanical models for the train with as many as 16 vehicles connected and for the interaction between wheel and rail are described. A computer program for the simulation of a Shinkansen train running on the railway structure at high speed has been developed. A visualization program, VIS, for the animation of dynamic motion of the train and railway structure has been developed. Numerical examples are demonstrated.