- Cortez City is a small city located in Montezuma County, Colorado, United States. It is the county seat and the most populous city in the county, with a population of approximately 8,500 residents. Cortez is known for its proximity to several archaeological sites, including Mesa Verde National Park, which is a UNESCO World Heritage site. The city offers various outdoor recreational activities such as hiking, camping, and fishing, attracting tourists and outdoor enthusiasts. Cortez also has a vibrant downtown area with shops, restaurants, and cultural attractions.