The present invention relates to a wireless communication system, and more particularly, to a method and an apparatus for processing a NAS signaling request. A method for performing a non-access stratum (NAS) signaling process by means of a terminal in a wireless communication system according to one embodiment of the present invention comprises: a step of receiving a first message that includes information indicating a network failure from a network node of a first network; a step of starting a timer relating to a network selection; and a step of selecting a second network from among network candidates excluding the first network during the operation of the timer relating to a network selection.