Amherst is a city in Lamb County, Texas, United States. The population was 791 at the 2000 census.
As of the census of 2000, there were 791 people, 269 households, and 210 families residing in the city. The population density was 951.4 people per square mile (368.0/km²). There were 341 housing units at an average density of 410.2 per square mile (158.6/km²). The racial makeup of the city was 68.90% White, 9.36% African American, 0.25% Native American, 21.11% from other races, and 0.38% from two or more races. Hispanic or Latino of any race were 39.95% of the population.
There were 269 households out of which 36.1% had children under the age of 18 living with them, 62.1% were married couples living together, 11.5% had a female householder with no husband present, and 21.6% were non-families. 20.1% of all households were made up of individuals and 10.8% had someone living alone who was 65 years of age or older. The average household size was 2.83 and the average family size was 3.25.