The disclosure relates to a 5G or pre-5G communication system. A method performed by a terminal, includes receiving, from a BS, first system information including first information for an extended DRX mode; receiving, from a BS, second system information including second information associated with a DRX cycle; determining whether to request activation of the extended DRX mode based on the first information; when it is determined to request the activation of the extended DRX mode, transmitting, to an MME, a request message including third information for an operation in the extended DRX mode; receiving, from the MME, a response message based on the request message; when the response message includes fourth information for the operation in the extended DRX mode, performing the operation in the extended DRX mode based on the second information and the fourth information; and when the response message does not include the fourth information, performing an operation in a regular DRX mode based on the second information.