A fifth generation (5G) or sixth generation (6G) communication system for supporting a higher data transmission rate is provided. A method performed by a terminal configured with a carrier aggregation (CA) for a first cell and a second cell is provided. The method includes determining a beam failure of the first cell, in response to the determining of the beam failure of the first cell, transmitting a first message of a random access for a beam failure recovery, receiving a second message of the random access on a physical downlink shared channel (PDSCH) of the first cell based on the transmission of the first message, transmitting a third message of the random access based on the second message and receiving a fourth message of the random access on the PDSCH of the first cell based on the transmission of the third message, wherein control information is received on a PDCCH.