Abstract: This paper studies the asymptotic behavior of a two-species competitive system with stage structure. We obtain conditions for the permanence of the system.By means of Brouwer fixed-point theorem and Lyapunov function, we show that there is a unique globally asymptotically stable positive periodic solution with respect to the corresponding periodic system under some appropriate conditions. Finaly, we compare the two species competitive system without stage structure with the system with stage structure.