User Equipment (UE) uses data and control channels to communicate with the base station. It is necessary always to exchange control information before data exchange, in other words control information is used to establish data channels. Data channels vary depending on the UMTS releases. There is a DCH channel in R99 which is permanently assigned to the user. In the next releases of UMTS DSCH, HS-DSCH and E-DCH channels are introduced in the downlink and uplink respectively for conveying bursty data. These channels are only assigned to the user during the data burst transmission. These channels are suitable for UE power conservation. Besides, since the UE battery power is limited we need new algorithms and methods for power conservation. The customary power consumption methods in 3GPP are in layer1. In this paper using a hierarchical Internet traffic in layer 2 we try to save UE battery power. In the customary methods channel is assigned during the burst transmission while in the offered method channel is assigned only during the packet transmission time in the burst period.