We　establish　the　convergence　of　the　Vlasov-Poisson-Fokker-Planck　system　to　the　incompressible　Euler　equations　in　this　paper.　The　convergence　is　rigorously　proved　on　the　time　interval　where　the　smooth　solution　to　the　incompressible　Euler　equations　exists.　The　proof　relies　on　the　compactness　argument　and　the　so-called　relative-entropy　method.