Disclosed is a method for establishing a sleep mode in a broadband
wireless access communication system. The method for establishing the
sleep mode includes a first step of placing a subscriber station into the
awake mode after time having a maximum window value lapses, determining
whether or not a message representing that there exists data to be
transmitted from a base station, placing the subscriber station into the
sleep mode when the received message represents that there does not
exists data to be transmitted from a base station, and establishing a
window value for a present sleep mode based on than a preset window value
of a previous sleep mode loop within the maximum window value.