  The main aim of this paper is to investigate new class of rings called, for
positive integers $n$ and $d$, $G-(n,d)-$rings, over which every $n$-presented
module has a Gorenstein projective dimension at most $d$. Hence we characterize
$n$-coherent $G-(n,0)-$rings. We conclude by various examples of
$G-(n,d)-$rings.
