A crystalline FEM theory which incorporates both non-Schmid effects and the Bausinger's effects is presented. The theory is applied to investigate the relationship between the strain hardening properties and the properties of plastic deformation localization and irreversible slip generation by calculating the deformation behavior of f. c. c. single crystal under cyclic loading conditions. As a result, the followings are found : 1) The cause of plastic deformation localization and irreversible slip generation is the deviation of resolved shear stress and back stress. These phenomena are induced by the difference of stress distribution during tensile/compressive loading. 2) Plastic deformation localization and irreversible slip generation proceed slowly when the hardening rate is small and/or the latent hardening is weak. 3) The accumulation of irreversible slip saturates when the hardening rate is sufficiently small under the conditions calculated in this report. Plastic deformation localization and irreversible slip generation difficult to arise when the latent hardening is sufficiently weak. 4) The progress of plastic deformation localization and irreversible slip generation is accelerated when non-Schmid effect exists. The normal stress of slip plane changes the properties of these phenomena under the conditions calculated in this report.