The intestinal epithelium is one of the most rapidly renewing tissues, which is fueled by stem cells at the base of the crypts. Strategies of genetic lineage tracing and organoids, which capture major features of original tissues, are powerful avenues for exploring the biology of intestinal stem cells in vivo and in vitro, respectively. The combination of intestinal organoid-culturing system and genetic modification approaches provides an attractive platform to uncover the mechanism of colorectal cancer and genetic disorders in the human minigut. Here, we will provide a comprehensive overview of studies on intestinal epithelium and intestinal stem cells. We will also review the applications of organoids and genetic markers in intestinal research studies. Furthermore, we will discuss the advantages and drawbacks of organoids as disease models compared with mice models and cell lines.