Almost all the phenomena occurring around us are the coupled phenomena. In the field of numerical analysis, it is difficult to perform coupled analysis. Because, there are a lot of problems and these problems make coupled analysis difficult, so we have to resolve these problems to perform analyses with considering the coupling effect. At present, as the popularity of numerical analysis rising along advancement in computer performance, demand of numerical analyses with incorporating coupling effects will further increase. In this research, we propose a new fluid-structure coupled analysis method using SUPG/PSPG stabilized FEM and Enriched Free Mesh Method to eliminate a lot of problems occurring in the process of coupled analysis. As the feature of our proposed method, linear triangular elements are only used in the analysis.