[Problem] To provide CAR-T cells that can be used in CAR infusion therapy wherein a cancer-specific intracellular antigen is used.[Solution] The problem is solved by CAR-T cells for cancer therapy provided with an antibody that recognizes the MAGE-A4-derived-peptide/HLA-A2 complex, wherein the antibody has VH amino acid sequence of SEQ ID NO: 36 and VL amino acid sequence of SEQ ID NO: 38. In the case, the antibody preferably is provided with the amino acid sequence of SEQ ID NO: 32.