The crucial role of individual Notch receptors and the mechanism by which they maintain intestinal crypt progenitor cells were assessed by using a series of inducible gut‐specific Notch mutant mice. We found that Notch1 and Notch2 receptors function redundantly in the gut, as only simultaneous loss of both receptors results in complete conversion of proliferating crypt progenitors into post‐mitotic goblet cells. This conversion correlates with the loss of Hes1 expression and derepression of the cyclin‐dependent kinase (CDK) inhibitors p27^Kip1 and p57^Kip2. We also found that the promoter of both CDK inhibitor genes is occupied by the Notch effector Hes1 in wild‐type crypt progenitor cells. Thus, our results indicate that Notch‐mediated Hes1 expression contributes to the maintenance of the proliferative crypt compartment of the small intestine by transcriptionally repressing two CDK inhibitors.