The derivation of the generalized Boltzmann equation is presented from a more elementary viewpoint than that given by Bogoliubov and others working in the field of kinetic theory of gases. Like the other derivations, the starting point is the Bogoliubov, Born, Green, Kirkwood, and Yvon (B-B-G-K-Y) hierarchy equations. However, no formal attempt is made to obtain corrections to account for three or more body collisions. Furthermore, there is noa prioriassumption made that the lower-order distribution functionsFs(s≥2)are functions of time through the one-particle distribution functionF1.