Montezuma County is a county located in the southwest corner of the U.S. state of Colorado. As of the 2020 census, the population was 25,849. The county seat is Cortez. Montezuma County contains many archaeologically significant Amerindian structures, which notably can be found in Mesa Verde National Park, Canyons of the Ancients National Monument, Yucca House National Monument, and Hovenweep National Monument.