Judsonia is a city in White County, Arkansas, United States. Stan Robinson is the current mayor, first elected in 2018. The population …Judsonia is a city in White County, Arkansas, United States. Stan Robinson is the current mayor, first elected in 2018. The population was 1,854 at the 2020 census. The city is located immediately northeast of neighboring Searcy, and north of the Little Red River before it turns southeast toward the White River.