Stability which controls the excessive foot motion is one of the important requirement property for running shoes. It is effective for designing the stability to control the torsional deformation of sole at the midfoot region. However the direct structural design is so difficult, because sole torsional deformation is affected by the three-dimensional sole geometry. In this study the optimized designing method based on the homogenization method is applied to sole stability designing. At first, torsional stiffness evaluation base on eigenvibration mode obtained from eigenfrequency analysis is proposed. Then topological optimized designing method in which object function is maximum of eigenfrequency is carried out to design the midfoot region. Finally the validity of the above method is checked by the comparison with the experiment result.