Deming is a city in Luna County, New Mexico, United States, 60 miles west of Las Cruces and 35 miles north of the Mexican border. The po…Deming is a city in Luna County, New Mexico, United States, 60 miles west of Las Cruces and 35 miles north of the Mexican border. The population was 14,758 as of the 2020 census. Deming is the county seat and principal community of Luna County.