The behavior of structures based on compliant soils and subjected to dynamic actions depend to a large extent on the soil and foundation properties. The deformations and stresses in the supporting soil are induced due to the base shear and moment generated in the vibrating structure since in reality the structure is not fixed base. The soil deformations further lead to the modification of the structural response. The dynamic interrelationship where the response of the soil influences the motion of the structure and the response of the structure influences the motion of the soil is called soil-structure interaction. In recent times it has gained the interest of researches and engineers in the field of structural dynamics, soil dynamics wave mechanics all over the world. For the past several years efforts have been made to develop a rational procedure to incorporate SSI in the structural design.