In this paper

we discuss the property of ideals in prime rings with derivations.Let R is a prime rings with 6-torsion free

I is a nonzero ideal of R and Z is the center of R

if there exists a nonzero derivation d such that d(x3)∈Z and I∩Z{0}for all x∈I or [x

d(x2)]∈Z for all x∈I

then R is a commutative ring.