A bandwidth allocation apparatus includes: a traffic starting position detection unit that detects a start timing of burst traffic on the basis of the traffic information; a traffic information extraction unit that extracts information on a traffic amount of each of a plurality of traffic allocation periods from the traffic information extracted for each lower-level apparatus; a traffic amount estimation unit that calculates an average value of the traffic amount in the traffic allocation periods on the basis of the information on the traffic amount that the traffic information extraction unit has extracted for each lower-level apparatus; and a bandwidth allocation unit that allocates a first bandwidth which is an allocation bandwidth based on the average value calculated by the traffic amount estimation unit to the terminating apparatus from the start timing detected by the traffic starting position detection unit.