A method for transmitting radio resources in a mobile communication system is disclosed. The method includes receiving a random access channel (RACH) preamble from a plurality of UEs and transmitting response information associated with the received preambles over a common channel wherein the plurality UEs can access the common channel and receive corresponding information. If a HARQ scheme is used when a UE transmits data to the eNode-B using uplink radio resources allocated over the RACH, the eNode-B does not pre-allocate uplink radio resources required for re-transmission and performs allocation of radio resources for a first transmission of HARQ. If the re-transmission is required, the eNode-B allocates the radio resources required for the re-transmission with the NACK signal. If re-transmission is not required, the present invention can reduce an amount of wasted radio resources.