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<;sup>;+<;/sup>;β<;sup>;+<;/sup>;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<;sup>;+<;/sup>;β<;sup>;+<;/sup>;cytotoxic T lymphocytes.