Burns is a town in Allegany County, New York, United States. The population was 1,180 at the 2010 census. The town is named after Scots poet Robert Burns.
According to the United States Census Bureau, the town has a total area of 27.2 square miles (70 km), of which 27.2 square miles (70 km) is land and 0.04% is water.
The north town line is the border of Livingston County, and the east town line is the border of Steuben County.
New York State Route 70 crosses the north part of the town and passes through Canaseraga.
As of the census of 2000, there were 1,248 people, 456 households, and 340 families residing in the town. The population density was 45.9 people per square mile (17.7/km²). There were 541 housing units at an average density of 19.9 per square mile (7.7/km²). The racial makeup of the town was 97.84% White, 0.02% African American, 0.72% Native American, 0.08% Asian, 0.64% from other races, and 0.72% from two or more races. Hispanic or Latino of any race were 0.96% of the population.
There were 456 households out of which 36.2% had children under the age of 18 living with them, 59.9% were married couples living together, 10.3% had a female householder with no husband present, and 25.4% were non-families. 19.7% of all households were made up of individuals and 6.6% had someone living alone who was 65 years of age or older. The average household size was 2.74 and the average family size was 3.08.
In the town, the population was spread out with 29.6% under the age of 18, 6.1% from 18 to 24, 28.8% from 25 to 44, 23.5% from 45 to 64, and 11.9% who were 65 years of age or older. The median age was 37 years. For every 100 females, there were 102.9 males. For every 100 females age 18 and over, there were 105.1 males.
The median income for a household in the town was $33,152, and the median income for a family was $37,054. Males had a median income of $32,120 versus $21,181 for females. The per capita income for the town was $14,613. About 10.4% of families and 12.3% of the population were below the poverty line, including 20.7% of those under age 18 and 2.7% of those age 65 or over.