Abstract: There has been a large number of literature research on the science and technology talents mobility overseas.This article uses the literature method to analyze the current publications on this issue based on Web of Science database with the CiteSpaceIII software to explore the evolution of the research process. Firstly, we make a co-citation analysis and detail the three core areas of the research on foreign science and technology mobility: "brain circulation" , "brain drain" and "brain gain". Secondly, we analyze the representative figure in the process of evolution and its replacement through the author co-citation analysis. What’s more, the change of research hot spots in various period is showed based on the keyword co-citation analysis. Finally, according to the evolution trend of overseas research on this issue, we speculate that in China the researches about this issue will focus on the impacts of brain drain and brain gain for Chinese economy, education, government finance and so forth.