Yerington is located at the intersection of US 95A and Nevada State Route 208. According to the United States Census Bureau, the city has a total area of 1.7 square miles (4.4 km²), all land.
As of the census of 2000, there were 2,883 people, 1,203 households, and 729 families residing in the city. The population density was 1,698.4 people per square mile (654.8/km²). There were 1,359 housing units at an average density of 800.6 per square mile (308.7/km²). The racial makeup of the city was 84.53% White, 0.17% African American, 6.24% Native American, 0.38% Asian, 5.79% from other races, and 2.88% from two or more races. Hispanic or Latino of any race were 15.44% of the population.
There were 1,203 households out of which 27.7% had children under the age of 18 living with them, 46.1% were married couples living together, 10.2% had a female householder with no husband present, and 39.4% were non-families. 35.0% of all households were made up of individuals, and 19.6% had someone living alone who was 65 years of age or older. The average household size was 2.29, and the average family size was 2.97.