Yorkville is a city in Gibson County, Tennessee. The population was 286 at the 2010 census. Yorkville is located at 36°5′55″N 89°7′8″W / 36.098…Yorkville is a city in Gibson County, Tennessee. The population was 286 at the 2010 census. Yorkville is located at 36°5′55″N 89°7′8″W / 36.09861°N 89.11889°W. According to the United States Census Bureau, the city has a total area of 1.4 square miles, all land.