The stress fields caused by plastic strain can be replaced by the sress fields due to pairs of forces. Based on this consideration the body force methed proposed by Nisitani for elastic problems was extended to the analysis of the elastic-plastic problems. The solutions are obtained by superposing the stress fields of a point force and a pair of point forces so as to satisfy a given boundary condition and the constitutive equation. The method of solutions was illustrated, by taking an example of the elastic-plastic problem of an infinite plate with circular hole subjected to internal pressure.