It is intended to provide a process for producing cytotoxic lymphocytes characterized by involving the step wherein, by using a medium having a total concentration of serum and plasma in the medium of from 0% by volume and less than 5% by volume, at least one treatment selected from among the induction of cytotoxic lymphocytes, maintenance thereof and upscaled culture thereof is carried out in the presence of fibronectin, its fragment or a mixture of the same.