Let R be a prime ring with involution of the second kind and centre Z(R). Suppose R admits a generalized derivation F: R → R associated with a derivation d: R → R. The purpose of this paper is to study the commutativity of a prime ring R satisfying any one of the following identities: (i) F(x) ? x^* ∈ Z(R) (ii) F([x, x^*]) ± x ? x^* ∈ Z(R) (iii) F(x?x^*) ± [x, x^*] ∈ Z(R) (iv) F(x)?d(x^*) ± x?x^* ∈ Z(R) (v) [F(x), d(x^*)] ± x?x^* ∈ Z(R) (vi) F(x) ± x ? x^* ∈ Z(R) (vii) F(x) ± [x, x^*] ∈ Z(R) (viii) [F(x), x^*] ? F(x) ? x^* ∈ Z(R) (ix) F(x ? x^*) ∈ Z(R) for all x ∈ R.

Keywords: prime ring, generalized derivation, derivation, involution.