The demand for high-speed rail transit systems has significantly increased since last decade. A high-speed train is a form of transportation that is convenient and environmentally good as it is a mass rapid transit system. However, fast train speeds bring into consideration some of the new engineering challenges that were unknown before. One of the most important problems is a substantial increase in the amount of rail-generated ground vibrations that can occur when the train speed surpasses the velocity of Rayleigh surface waves in the supporting ground. These vibrations may cause severe damage to the supporting ground. Hence, great attention should be taken while designing such structural systems. Advanced numerical analysis is a great tool for determining the performance of a system subjected to dynamic rail loading. The present study deals with the linear time history analysis of stratified embankment subjected to high-speed rail loading using the concepts of the finite element method (FEM). The results are shown here in terms of total translation and Von-Mises stresses in the pavement and embankment. Also, the effects of change in the rail load direction are studied and illustrated. The study of the fundamentals of dynamic impulsive loading induced due to the moving rail load by understanding the advanced numerical methods like Eigenvalue analysis and time history analysis for evaluating the response of the structure.