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We study the following nonlinear fractional Schr?dinger-Poisson system with critical growth:?(?(??)su+u+φu=f(u)+|u|2?s?2u, x∈R3, (??)tφ=u2 , x∈R3, (0.1)) where 03 and 2?s =( 63?2s) is the critical Sobolev exponent in R3. Under some more general assumptions on f , we prove that (0.1) admits a nontrivial ground state solution by using a constrained minimization on a Nehari-Pohozaev manifold.