There is quite a few literature with respect to earthquakes in geology field. To clarify the mechanism of deformation of faults and folds in stacking layers is also an important theme on solid mechanics. In this study, we deal with the kink fold which is idealized to have only straight and refracting cross sections. Relation between displacement and compression load is evaluated using the maximum strength theorem that is natural derivation of the principle of virtual power (Salencon, 1974). We also discuss the result using anisotropic cohesion model.