This paper presents an analysis of the uniform bending of an anisotropic plate by using an anisotropic plasticity based on the maximum shear stress yield condition. When the stress points remain in two special sides of the yield surface and the plastic deformation proceeds, this problem can be analyzed as a plane strain problem. But, in the other cases, it is found that the constant strain e₃=α in the direction of the plate width becomes positive or negative. In the latter cases the stress distributions plotted on the π-plane show that the stress points are not only on the sides, but also at the corners of the yield surface. It is found that there is the region in which the total strain theory can be applied for the plastic bending of plates, but this fact is neglected. Therefore, the imperfect results of analysis still remain mainly near the neutral surface.