Let A and B be C*-algebras, and let δ be a derivation on the tensor product A ⊗ B endowed with a uniform cross norm. In this paper, we present a decomposition for δ as δ = ∆ ⊗ id + id ⊗ ∇, where id stands for the identity operator and ∆ and ∇ are derivations on A and B, respectively. Moreover, the concept of flow on the tensor product of C*-algebras and some properties of tensor sum are investigated.