Such structures as airplane, pressure vessel, building and so on, are subjected to cyclic loading and abrupt load because of earth quick and so on. So, it is very important to know inelastic constitutive equations of such structural metals to confirm safety in strength.In this study, inelastic behavior of SUS316 stainless steel under combined axial with torsional stresses is investigated experimentally. Influences of loading direction and cyclic preloading on both viscosity stress and strain aging are analyzed theoretically based on the Two-Factor constitutive concept which means the overstress concept including aging effect. It is found that viscosity stress and strain aging do not depend on loading direction and establish a relationship with cyclic preloading.