On the assumption that the stress-strain relation in the tension test holds in the case of bending, the general theory of the plastic bending of a mild steel beam having a section, which is unsymmetrical to the elastic neutral axis, was developed. This theory was applied to some special cases of practical interest. As an example, 1.-section beam and rectangular beam were numerically treated, and the moment-deflection relations in these cases were graphically shown, using the ratio of the lower yield point to the upper one as a parameter.