It is an object to provide a culture method which is capable of maintaining and/or culturing iPS cell-derived intestinal stem cells, while maintaining the properties of intestinal stem cells. The induced pluripotent stem cell-derived intestinal stem cell-like cells are cultured in the presence of a GSK-3β inhibitor, a histone deacetylation inhibitor, and a serum replacement, or in the presence of a GSK-3β inhibitor and a serum replacement. Preferably, the culture is carried out under conditions in which one or more compounds selected from the group consisting of an epidermal growth factor, a TGFβ receptor inhibitor and a fibroblast growth factor are further present.