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In this paper, a complete solution is presented for dynamic plastic response of a rigid,perfectly plastic hinged-free beam, of which one end is simply supported or hinged and the other endfre, subjected to a transverse strike by a travelling mass at an arbitrary location along its span. Thegoverning diferential equations are expressed in non-dimensional forms and solved numerically to obtainthe instantaneous deflection of the beam and the plastic dissipated energy in the beam. The dynamicbehavior for a hinged-free beam is more complicated than that of a free-free beam. It transpires that themass ratio and impact position have significant influence on the final deformation. In the aspect of energydisipation, unlike simply suported or clamped beams for which the plastic deformation consumes almostthe total input energy, a considerable portion of the input energy would be transferred as rigid-bodymotion of hinged-free beam, and the energy dissipated in its plastic deformation is greatly reduced.