In this paper we suggest a dynamic quota allocation mechansim for B-ISDN(Broadband Integrated Services Digital Network) subscriber networks. The quota adaptation decision based on the number of cells in the transmission queue is made distributively by each node in the ring network. This mechanism provides both fairness and efficiency for it enables each node to adapt its quota under asymmetric traffic condition. The simulation results show that substantial improvements in access delay time and throughput can be achieved with this algorithm.