Abstract: The interaction between soil and structure is a common problem in geotechnical engineering, which plays a key role in assessing the damage behavior of structure. The computational model for soil-interface-structure system is the foundation of the detailed study of the interaction between soil and structure, but it has to solve a series of problems, including soil-structure contact constraint and contact judgment, soil-structure mechanical behavior and constitutive model, and grid model for soil-interface-structure system, etc. The progress of the computational model for soil-interface-structure system is summarized, and a suggestion of its main developing trend is put forward.