Brookville is located at . It contains the confluence of the East and West forks of the Whitewater River; the East Fork forms a portion of the eastern boundary of the town. Brookville is also at the southern end of Brookville Lake, impounded in 1974 by the United States Army Corps of Engineers. According to the 2010 census, Brookville has a total area of, of which is land and is water.
As of the census of 2010, there were 2,596 people, 1,160 households, and 673 families living in the town. The population density was. There were 1,307 housing units at an average density of. The racial makeup of the town was 97.5% White, 0.3% African American, 0.3% Native American, 0.2% Asian, 0.8% from other races, and 0.9% from two or more races. Hispanic or Latino of any race were 1.6% of the population. There were 1,160 households of which 29.2% had children under the age of 18 living with them, 39.4% were married couples living together, 12.7% had a female householder with no husband present, 5.9% had a male householder with no wife present, and 42.0% were non-families. 37.8% of all households were made up of individuals and 20.7% had someone living alone who was 65 years of age or older. The average household size was 2.24 and the average family size was 2.91. The median age in the town was 39.6 years. 24.1% of residents were under the age of 18; 9.2% were between the ages of 18 and 24; 22.4% were from 25 to 44; 24% were from 45 to 64; and 20.2% were 65 years of age or older. The gender makeup of the town was 46.8% male and 53.2% female.
2000 census
As of the census of 2000, there were 2,652 people, 1,145 households, and 683 families living in the town. The population density was 1,982.4 people per square mile. There were 1,276 housing units at an average density of 953.8/mi². The racial makeup of the town was 98.91% White, 0.04% African American, 0.19% Native American, 0.34% Asian, 0.19% from other races, and 0.34% from two or more races. Hispanic or Latino of any race were 0.53% of the population. There were 1,145 households out of which 26.3% had children under the age of 18 living with them, 43.8% were married couples living together, 12.2% had a female householder with no husband present, and 40.3% were non-families. 36.5% of all households were made up of individuals and 21.0% had someone living alone who was 65 years of age or older. The average household size was 2.24 and the average family size was 2.93. In the town, the population was spread out with 23.5% under the age of 18, 8.3% from 18 to 24, 26.7% from 25 to 44, 19.8% from 45 to 64, and 21.6% who were 65 years of age or older. The median age was 39 years. For every 100 females, there were 85.1 males. For every 100 females age 18 and over, there were 84.7 males. The median income for a household in the town was $29,390, and the median income for a family was $37,212. Males had a median income of $29,009 versus $23,910 for females. The per capita income for the town was $17,360. About 4.4% of families and 8.0% of the population were below the poverty line, including 6.6% of those under age 18 and 8.6% of those age 65 or over.
Transportation
The main mode of transportation is by road. Major routes running through the town include:
