Burke is a city in and county seat of Gregory County, South Dakota, United States. The population was 604 at the 2010 census.
Burke was laid out in 1904 and incorporated in 1906. It was named for congressman Charles H. Burke.
Burke is located at 43°10′59″N 99°17′28″W (43.182992, -99.291065).
According to the United States Census Bureau, the city has a total area of 0.56 square miles (1.45 km2), all land.
Burke has been assigned the ZIP code 57523 and the FIPS place code 08700.
As of the census of 2010, there were 604 people, 324 households, and 161 families residing in the city. The population density was 1,078.6 inhabitants per square mile (416.4/km2). There were 398 housing units at an average density of 710.7 per square mile (274.4/km2). The racial makeup of the city was 94.2% White, 0.2% African American, 3.5% Native American, 0.2% from other races, and 2.0% from two or more races. Hispanic or Latino of any race were 0.7% of the population.
There were 324 households, of which 19.4% had children under the age of 18 living with them, 42.9% were married couples living together, 4.6% had a female householder with no husband present, 2.2% had a male householder with no wife present, and 50.3% were non-families.