The present invention relates to a method for receiving Downlink Control Information (DCI) in a wireless access system and a terminal therefor. More specifically, the method comprises the steps of: performing blind decoding according to the transmission mode set for a terminal in a search space assigned to the terminal; and receiving DCI through a detected Physical Downlink Control Channel (PDCCH) via blind decoding, wherein the transmission mode is set to any one of a plurality of transmission modes, which have limitations dependent on the performance of the terminal, by a base station that supports a plurality of transmission modes.