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Let M be a complex-hyperbolic n-manifold, i.e. a quotient of the complex-hyperbolic n-space H^n_Cby a torsion-free discrete group of isometries, gamma=pi_1(M). Suppose that M is convex-cocompact, i.e. the convex core of M is a nonempty compact subset. In this talk, we will discuss a sufficient condition on ? in terms of the growth-rate of its orbits in HnC for which M is a Stein manifold. We will also talk about some interesting questions related to this result. This is a joint work with Misha Kapovich.