By plastic anisotropy we mean solidification anisotropy. Fully anisotropic elasto-plastic deformation would be deformation with both elastic and plastic anisotropy. In this analysis, we limit ourselves to materials that are elastically isotropic in their initial configuration and that retain this isotropy even after plastic deformation. We, however, allow such materials to have a yield surface that expands during deformation in an arbitrary anisotropic manner (hardening anisotropy). Elasto-plastic deformation of such materials is then deformation with elastic isotropy and plastic anisotropy. The author of this paper briefly calls such deformation elasto-plastic deformation with plastic anisotropy. The aim of this work is to form a global structure of the constitutive law for an elasto-plastic material at finite deformations under conditions of arbitrary plastic anisotropy. The obtained result shows that this structure does not formally differ from the corresponding structure for elasto-plastic deformation with plastic isotropy, formed in the author's previous work [2-4]. This appears explicitly proven for the first time in this paper.