Abstract A novel fair queuing algorithm LL-DRR(Low Latency Deficit Round Robin)is proposed in this paper, which is based on DRR (Deficit Round Robin) algorithm and suitable to schedule variable length packets. The simulation and theoretical analysis show that the delay performance of LL-DRR is much better than DRR, and the maximum packet delay of a session in LL-DRR is independent of the number of sessions. LL-DRR can support real time service. LL-DRR inherits the fairness of DRR on average throughput. LL-DRR is simple to implement and applicable to high speed networks.