- Deming is a city located in Luna County, in the southwestern part of New Mexico, United States. It is situated in the Chihuahuan Desert, near the border with Mexico. The city has a population of approximately 14,000 residents. Deming is known for its rich history, including its connection to the Southern Pacific Railroad and its role in the mining industry in the late 19th and early 20th centuries. The city is also famous for its annual events, such as the Great American Duck Race and the Luna County Deming Gem & Mineral Society Show. Deming offers a range of recreational activities, including hiking, camping, and golfing.