The composition for producing neural stem cells provided by the present invention contains an artificially synthesized synthetic peptide having a neural stem cell-inducing peptide sequence that induces neural stem cells from fibroblasts, and one or two or more pharmaceutically acceptable carriers. The neural stem cell-inducing peptide sequence is any of (i) an amino acid sequence constituting a signal peptide of any protein belonging to the amyloid precursor protein (APP) family, (ii) a partial amino acid sequence of the amino acid sequence of (i), and (iii) a modified amino acid sequence of the amino acid sequence of (i) or (ii).