In this paper, the author compares the similarities and differences of understanding and accepting the western geometry during the transformation of the two eastern countries from traditional mathematics model to western one. Firstly, it starts with the detailed introduction of Euclidean geometry spreading to Late Qing Dynasty and Meiji Era. Secondly, it compares the translators for the Chinese and Japanese versions and discusses the background when the Euclidean geometry introduced into the two countries.Thirdly, here comes the comparison between the relations of the source books introduced into China and Japan and the analysis of their impact on the West,finding out the reasons why the translators chose the source books in China and Japan.Finally,this paper ends with the discussion of the concrete influence of the Chinese and Japanese versions in spreading the western geometry and the transformation from traditional mathematics model to western one.