Sundown is a small town in Hockley County, Texas, United States. The population was 1,397 at the 2010 census, a decrease from 1,505 at the 2000 census.Sundown is located at 33°27′25″N 102°29′18″W / 33.45694°N 102.48833°W / 33.45694; -102.48833.According to the United States Census Bureau, the city has a total area of 1.5 square miles, all of it land.As of the census of 2000, there were 1,505 people, 500 households, and 405 families residing in the city. The population density was 995.0 people per square mile. There were 575 housing units at an average density of 380.1 per square mile. The racial makeup of the city was 79.60% White, 1.00% African American, 0.53% Native American, 0.07% Asian, 16.81% from other races, and 1.99% from two or more races. Hispanic or Latino of any race were 39.34% of the population.There were 500 households out of which 43.6% had children under the age of 18 living with them, 67.4% were married couples living together, 10.