One of the important problems respecting the X-ray method of stress measurement is concerned with the residual stress induced in polycrystalline metals by plastic deformation. As reported in a previous paper, the axial residual stress induced in an iron specimen by uniaxial tension does not satisfy the so-called macroscopic equilibrium over the cross section of the specimen if measured with respect to {310} lattice planes by Co-Kα radiation. This phenomenon can be sufficiently interpreted by taking into consideration the elastic and plastic anisotropy of each crystal constituting a polycrystalline aggregate, and the selective nature of the X-ray method.In the present study, a thin temper-rolled steel sheet was deformed by stretches given in two alternately orthogonal directions, and the distribution of residual stress induced in the specimen was determined with respect to {310} crystal Planes by application of Co-Kα radiation. The material used in the experiment was also examined in the tension test to see how the flow stress would depend on its direction.The experimental results obtained are summarized as follows:(1) The anisotropy of residual stress is usually observed on the specimen stretched in two altelrnately orthogonal directions as well as on the specimen stretched only in one direction.(2) The compressive residual stress induced in the direction making angles of 0°and 22.5° with the direction in which the preliminary stretch was given, decreases parabolically. It is due to the strain caused by the vertical stretch subsequently given.(3) On the contrary, the compressive residual stress, induced in the direction making angles of 45°, 67.5°and 90°with the direction in which the preliminary stretch was given, increases parabolically together with the strain caused by the vertical stretch subsequently given. However, the rate of increase in the residual stress is much less than that induced by stretching only in one direction.(4) On the specimen that has been deformed by stretch in two alternately orthogonal directions, there is maximum flow stress in the drirection in which smaller preliminary strain was given.