Provided are a method and an apparatus for repairing a memory cell in a memory test system. A test device detects a fail address by testing a memory device according to a test command, and temporarily stores the fail address in a fail address memory (FAM). The fail address is transmitted to the memory device according to a fail address transmission mode, is temporarily stored in a temporary fail address storage of the memory device, and is then stored in an anti-fuse array, which is a non-volatile storage device. To secure the reliability of data, stored data can be read to verify the data and a verification result can be transmitted in series or in parallel to the test device.