The present invention is a method for inducing cytotoxic T cell having an antigen-specific cytotoxic activity, a method for maintaining the cell, a method for continuously culturing the cell or a method for expanding the cell, comprising the step of culturing a cytotoxic T cell in the presence of at least one substance selected from the group consisting of (A) a substance having a binding activity to CD44； (B) a substance capable of regulating a signal emitted by binding a CD44 ligand to CD44； (C) a substance capable of inhibiting binding of a growth factor to a growth factor receptor； (D) a substance capable of regulating a signal emitted by binding of a growth factor to a growth factor receptor； and (E) fibronectin, a fragment thereof or a mixture thereof.
