UMTS(Universal Mobile Telecommunication System) is recently recognized as a standard for 3rd generation of wireless networks and DSCH(Down-link Shared Chanel) is considered as a very effective multiplexing method in UMTS. So, it is inevitable to develope an effective packet scheduling algorithms for DSCH in UMTS. This paper describes an improved packet scheduling algorithm for DSCH of UMTS. The algorithm takes consideration in channel state for each mobile terminal to maximize link utilization, delay threshold for class 3 traffic and throughput for class 4 to get long term fairness. To verify the algorithm, we programmed a simulator using PARSEC simulation tool and got some simulation results by it. The simulation results show that the algorithm has reasonable characteristics in both of link utilization and fair-ness by trade-off.