The present invention relates to a wireless communication system, and discloses a method and an apparatus for performing random access in a multi-carrier wireless communication system. According to one embodiment of the present invention, the method in which user equipment carries out a process for random access to a base station in a multi-carrier wireless communication system comprises: a step of measuring the channel qualities of one or more uplink component carriers, and determining the uplink component carrier having the highest channel quality; a step of selecting a physical random access channel (PRACH) resource on the uplink component carrier having the highest channel quality; and a step of transmitting a random access preamble to the base station using the selected PRACH resource.