Brookston is a town in Prairie Township, White County, in the U.S. state of Indiana. The population was 1,554 as of the 2010 United States Census.
Brookston was platted in 1853, and named for James Brooks, a railroad official.
The Brookston post office has been in operation since the town was platted.
Brookston is located at 40°36′4″N 86°51′57″W (40.601167, -86.865803).
According to the 2010 census, the town has a total area of 0.66 square miles (1.7 km2), all land.
As of the 2010 United States Census, there were 1,554 people, 624 households, and 430 families in the town. The population density was 2,354.5 inhabitants per square mile (909.1/km2). There were 695 housing units at an average density of 1,053.0 per square mile (406.6/km2). The racial makeup of the town was 98.0% White, 0.1% Native American, 0.2% Asian, 0.1% Pacific Islander, 0.5% from other races, and 1.2% from two or more races. Hispanic or Latino of any race were 2.6% of the population.
There were 624 households, of which 34.8% had children under the age of 18 living with them, 50.8% were married couples living together, 11.4% had a female householder with no husband present, 6.7% had a male householder with no wife present, and 31.1% were non-families. 26.1% of all households were made up of individuals, and 11.2% had someone living alone who was 65 years of age or older. The average household size was 2.49 and the average family size was 2.97.