A packet scheduling method and apparatus which allows multiple flows that require data transmission to the same output port of a network device such as a router to fairly share bandwidth. The packet scheduling method includes calculating an expected time of arrival of a (k+1)-th packet subsequent to a currently input k-th packet of individual flows by use of bandwidth allocated fairly to each of the flows and a length of the k-th packet; in response to the arrival of the (k+1)-th packet, comparing the expected time of arrival of the (k+1)-th packet to an actual time of arrival of the (k+1)-th packet; and scheduling the (k+1)-th packet of each flow according to the comparison result.