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In this paper,we study n-Gorenstein projective modules over Frobenius extensions and n-Gorenstein projective dimensions over separable Frobenius extensions.Let R ? A be a Frobenius extension of rings and M any left A-module.It is proved that M is an n-Gorenstein projective left A-module if and only if A ?R M and HomR(A,M)are n-Gorenstein projective left A-modules if and only if M is an n-Gorenstein projective left R-module.Furthermore,when R ? A is a separable Frobenius extension,n-Gorenstein projective dimensions are considered.