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Let M be a Γ− ring, U an ideal of M, charM  , 3 and 0  d : M → M be a left derivation. In this paper we have proved the following results. (i) If d(U ) ⊂ U and d 2 (U) ⊂ Z then M is commutative where Z = {c ∈ M : cγm = mγc : m ∈ M, γ ∈ Γ} is the center of M. (ii) Let d1 ,d 2 be non zero left and right derivations of M and d2(U) ⊂ U. If d1d2(U) ⊂ Z then M is commutative.

The commutativity in prime Gamma rings with left derivation