A method and apparatus for support of CU-DU split in MT-EDT procedure in a wireless communication system is provided. A Central Unit (CU) of a Radio Access Network (RAN node) receives, from a Distributed Unit (DU) of the RAN node, second information related to a transport block used for the wireless device. The CU decides a Radio Resource Control (RRC) state for transmitting the downlink (DL) data to the wireless device based on the first information related to the DL data and the second information related to the transport block.