The　generalized　Pareto　distribution　(GPD)　has　been　widely　used　to　model　exceedances　over　a　threshold.　This　article　generalizes　the　method　of　generalized　probability　weighted　moments,　and　applies　this　method　to　estimate　the　parameters　of　GPD.　The　estimator　is　computationally　easy.　Some　asymptotic　results　of　this　method　are　provided.　Two　simulations　are　carried　out　to　investigate　the　behavior　of　this　method　and　to　compare　them　with　other　methods　suggested　in　the　literature.　The　simulation　results　show　that　the　performance　of　the　proposed　method　is　better　than　some　other　methods.　Finally,　this　method　is　applied　to　analyze　a　real-life　data.