Abstract: Invasion routes means the geographical pathways followed by propagules from their source to the invading populations,which provides information about the history of the invasion process and the origin and genetic composition of the invading populations.The reconstruction of invasion routes is a useful approach for addressing questions about basic theory of invasion and questions about management of invasion species.Two types of methods have traditionally been used to make inferences concerning routes of introduction:① direct methods based on current and historical observations of invasive species and ② indirect methods based on patterns in population genetics data.For most species,their historical records are often incomplete or missing,and the information about their invasion routes depend a great deal on indirect methods.Here,molecular genetic data has been proved to be useful to reveal the evolution history of invasive populations.However,complex routes of invasion is still a great challenge for traditional indirect methods because of the complexity of invasion.In this context,An indirect model-based method based on approximate Bayesian computation was presented,which made it possible to distinguish complex competing scenarios.In this review,we first explained why the reconstruction of these routes was useful for addressing both practical and theoretical questions in biology.Then we introduced the various reconstruction methods available.We also introduced the statistical principal,key steps,characteristic and advantages of ABC in detail.Finally,we emphasized the sampling strategy that might need particular attention in the process of invasion routs research.