A method and apparatus for transmitting or receiving channel quality control information through a physical uplink shared channel (PUSCH) in a wireless access system that supports hybrid automatic retransmit request (HARQ). In one embodiment, a user equipment (UE) receives a physical downlink control channel (PDCCH) signal including an initial uplink grant, transmits uplink data using two transport blocks based on the initial uplink grant, receives a negative acknowledgement (NACK) information for one of the two transport blocks, and transmits a channel quality control information along with the one of the two transport blocks which is retransmitted according to the NACK information or a new transport block through the PUSCH to which the HARQ is applied. A number of coded symbols required to transmit the channel quality control information (Q′) is calculated based on the initial uplink grant.