In [4]; Breaz and Breaz gave the univalence conditions of the integral operator $F_{\alpha, n}$ of the analytic functions belonging to the classes $\mathbb{T}_2$; $\mathbb{T}_{2,\mu}$ and $\mathbb{S}(p)$. The purpose of this paper is to generalize the integral operator $F$ by means of the generalized Al-Oboudi differential operator and investigate univalence conditions of this generalized integral operator considering the classes $\mathbb{T}_j$; $\mathbb{T}_{j, \mu}$; and $\mathbb{S}_j(p)$ $(j = 2, 3,...)$.