Priority-aware hierarchical communication traffic scheduling methods and apparatus are disclosed. Communication traffic is scheduled by schedulers. Each scheduler supports a multiple priority scheduling function to schedule communication traffic having any of multiple priorities. The communication traffic scheduled by the schedulers is further scheduled based on the priorities of the communication traffic scheduled by each of the schedulers. Traffic shaping may also be integrated into a hierarchical scheduler. The priority-aware further scheduling and the optional shaping may be implemented, for example, using multiple Active lists, one per traffic priority, and a Pending list to which a scheduler can be added if it has communication traffic to schedule but is not allowed to schedule that traffic due to the shaping.