In the present paper, a new analytic function valued integral operator is introduced which is defined on $n$-copies of a subset of the class of $ extit{normalized}$ analytic functions on the unit disc of the complex plane. This operator, which is denoted here by $mathcal{J}^{alpha_{i},~ eta_{i}}(f_{1},...,f_{n})$, unifies and generalizes several integral operators studied  earlier. Interesting sufficient conditions  are derived for the $ extit{univalent starlikeness }$of $mathcal{J}^{alpha_{i},~ eta_{i}}(f_{1},...,f_{n})$.

Keywords: Analytic functions, Integral operator, Starlike functions