The Southern Ute Indian Reservation (Ute dialect: Kapuuta-wa Moghwachi Núuchi-u) is a Native American reservation in southwestern Colorado near the northern New Mexico state line. Nebraska, Nevada, New Mexico, New York, North Carolina, North Dakota, Oregon, South Dakota and Utah.Colorado, Florida, Idaho, Iowa, Kansas, Louisiana, Michigan, Minnesota, Mississippi and Montana.Recent post: Does The Cal State Website Crash? What states in the US have Indian reservations?