Elkton is a city in Brookings County, South Dakota, United States. The population was 736 at the 2010 census. Some of Elkton's population also have Minnesota addresses since the city is located so close the state line.
Elkton is located at 44°14′9″N 96°28′55″W / 44.23583°N 96.48194°W / 44.23583; -96.48194 (44.235716, -96.481887).
According to the United States Census Bureau, the city has a total area of 1.5 square miles (4.0 km²), all of it land.