A method and apparatus for transmitting a single RRC group reject message to reject the RRC connection requests of a plurality of terminals, thus minimizing the waste of radio resources and providing a quick response to those terminals that transmitted a request. A list containing initial UE identities of those terminals to be rejected, and a rejection cause indicating the reason for rejection are included in the single RRC group reject message. Preferably, the list should be generated within a certain time limit to prevent some terminals from re-transmitting their RRC connection requests.