The IEEE 802.16e WMAN (Wireless Metropolitan Area Networks), which has been designed for fixed or mobile broadband wireless access, is getting into the spotlight as the base technology for the mobile Internet. As most mobile stations are battery-powered in wireless environment, energy efficient protocols are essential for their practical use. Although many systems, including the IEEE 802.16e, adopt the sleep mode, little attention has been paid to the traffic characteristics or status of the mobile station. In this paper, we propose a new scheme called Cumulative-TIM, in which BS(base station) does not wake up a mobile station until a sufficient amount of data for the station is stored, thus guaranteeing mobile stations sleep enough amount of time. In this way, mobile stations can use their energy more efficiently than the standard sleep mode: Our simulation result shows that proposed scheme has a better performance compare with the current standard of the WMAN. [ABSTRACT FROM AUTHOR]