A method of efficiently producing cytotoxic T lymphocytes having intrinsic properties of lymphocytes of the acquired immune system suitable for cellular immunotherapy is provided. A method of producing D8α+β+ cytotoxic T lymphocytes, comprising the step of culturing CD4/CD8 double-positive T cells in a medium containing IL-7 and a T-cell receptor activator, to induce CD8α+β+ cytotoxic T lymphocytes.