Abstract: In this paper ,we introduce the generalized Roper-Suffridge extension operator for locally bi- holomorphic mappings．It is shown that this operator preserves the starlikeness on some Reinhardt do- mains and does not preserve convexity for some cases ．Meanwhile ,the growth theorem and distortion  theorem of the corresponding mappings are given .

Key words: biholomorphic mappings, starlike mappings and convex mappings, the generalized Roper- Suffridge extension operator