Recently, researches of concrete performance improvement are increased in the advanced countries. Most nano material research is analyzed by experiment. This study performs a numerical analysis used by tensile strength of MWCNT and nano continuum theory, so effect on the performance improvements of nano mortar is analytically confirmed. Preceding researches about experimental result of flexural strength by Chan and Andrawes are comparative verified with result of multi-scale finite element modeling. In addition, parametric studies were conducted to investigate the effect of the ratio of width and the ratio of height on the behavior of proposed finite element modeling by nonlinear finite element analyses.