An apparatus and method are provided for transmitting Hybrid Automatic Repeat reQuest ACKnowledgment (HARQ-ACK) feedback information by a User Equipment (UE) in a wireless communication system, when Component Carriers (CCs) configured for the UE include a Frequency Division Duplexing (FDD) CC and a Time Division Duplexing (TDD) CC. The method includes determining a HARQ-ACK timing and a CC for transmitting the HARQ-ACK feedback information, based on a composition structure of the CCs configured for the UE, and transmitting the HARQ-ACK feedback information on a Physical Uplink Control CHannel (PUCCH) or a Physical Uplink Shared CHannel (PUSCH) of the determined CC, based on the determined HARQ-ACK timing.