[4] According to the United States Census Bureau, the city has a total area of 3.0 square miles (7.8 km2), all land.

As of January 2022, the current mayor of Elephant Butte is Phillip Mortensen while John Mascaro serves as city manager.

[5][6] At the 2010 census, there were 1,431 people in 772 households, including 464 families, in the city.

There were 1,316 housing units at an average density of 438.7 per square mile.

[8] Of the 772 households 7.8% had children under the age of 18 living with them, 53.4% were married couples living together, 4.3% had a female householder with no husband present, and 39.9% were non-families.