La Veta is a Statutory Town in Huerfano County, Colorado, United States. The population was 924 at the 2000 census.As of the census of 2000, there were 924 people, 429 households, and 251 families residing in the town. The population density was 747.8 people per square mile (287.7/km²). There were 552 housing units at an average density of 446.7 per square mile (171.9/km²). The racial makeup of the town was 92.21% White, 0.22% African American, 0.97% Native American, 0.97% Asian, 2.06% from other races, and 3.57% from two or more races. Hispanic or Latino of any race were 11.47% of the population.