Invasive alien weeds are of great concern because of their capability of spreading fast, their high competitiveness and ability to settle in new areas within short period of time. Thus, they are the second biggest threat to biodiversity after habitat destruction. It is therefore necessary to prevent the introduction, establishment, and spread of these invasive alien weeds (IAWs) into newer areas. Ecological niche modelling (ENMs) and species distribution modelling (SDMs) are two commonly used approaches in theoretical and applied studies in ecology to study the species behavior in future climatic conditions. In this study, we undertook a bibliographic analysis of scholarly articles on the modelling studies on species invasion under current and future climatic scenarios. In addition, results of different studies on modelling and prediction on distribution of IAWs on global as well as India level were also discussed. Study revealed that researchers started getting interest and published more work in the subject between 2015 and 2020. The greater number of related articles were published in the subjects such as ecology, biology, habitat and climate change and published mostly by Wiley, Elsevier and Springer publishers.  Further, the shortcomings of species distribution modelling and future prospects were also discussed.