The present invention relates to a wireless access system supporting multi-carrier aggregation (CA) and discloses various methods and devices for aperiodic feedback of channel state information (CSI). The method for aperiodic feedback of the channel state information (CSI) in the wireless access system supporting the multi-carrier aggregation (CA), according to an embodiment of the present invention, comprises the steps of: receiving a first message including an aperiodic CSI request field and uplink grant from a base station; receiving a second message including bitmap information indicating a downlink component carrier (DL CC) subjected to CSI measurement from the base station; measuring the CSI in consideration of at least one of the aperiodic CSI request, uplink grant, and bitmap information; and transmitting the measured CSI to the base station through a physical uplink shared channel (PUSCH) to thereby receive aperiodic feedback of the same.