The present invention relates to a wireless communication system and, more specifically, to a method and an apparatus for processing a non-access stratum (NAS) signaling request. According to one embodiment of the present invention, the method for enabling a terminal to perform the NAS signaling process in a wireless communication system comprises the steps of: receiving a first message comprising information for indicating network failure from a network node of a first network; starting a timer related to network selection; and selecting a second network among the network candidates except for the first network when the timer related to network selection is operated.