In　this　paper　we　establish　the　convergence　of　the　Vlasov-Poisson-Boltzmann　system　to　the　incompressible　Euler　equations　in　the　so-called　quasi-neutral　regime.　The　convergence　is　rigorously　proved　for　time　intervals　on　which　the　smooth　solution　of　the　Euler　equations　of　the　incompressible　fluid　exists.　The　proof　relies　on　the　relative-entropy　method.