Ute Park is an unincorporated community and census-designated place in Colfax County, New Mexico, United States. As of the 2010 census it had a population of 71. It was formerly part of the Maxwell Land Grant. Ute Park lies on U.S. Route 64 between Cimarron and Eagle Nest, just east of Cimarron Canyon State Park. In 1921, the Guide to New Mexico described it as: Ute Park was named for the Ute Indians, who lived on the east slope of near-by Mt. Baldy.