Topological interlocking structures/materials is an emerging design concept.By the shape and size of the same blocks engaged with each other to form a structure with special properties,the elements are mutually constrained but not firmly bonded together,and which is called a topological interlocking structures/materials.Owing to its superior mechanical properties,such as outstanding toughness of structure,energy absorption capacity,resistance to local damage,and so on,it has received wider attention from more and more fields in recent years.Many researchers have carried out innovative studies on various aspects,so great research progress has been made in both theory and application.Its application covers many fields such as cushioning and damping,sound and energy absorption,and architectural design.This paper reviews the research progress and current status of topological interlocking structures/materials at home and abroad in recent years from the advantages,structure types and applications.Based on the analysis of the research status,this paper also looks forward to the future development trend and possible engineering applications of topological interlocking structures/materials.