A packet scheduling apparatus and method to fairly share network bandwidth between multiple subscribers and to fairly share the bandwidth allocated to each subscriber between multiple flows are provided. The packet scheduling method includes calculating first bandwidth for each subscriber to fairly share total bandwidth set for the transmission of packets between multiple subscribers; calculating second bandwidth for each flow to fairly share the first bandwidth between one or more flows that belong to each of the multiple subscribers; and scheduling a packet of each of the one or more flows based on the second bandwidth.