Eastman is a city in Dodge County, Georgia, United States. The population was 4,962 at the 2010 census. Named after one of the founders who contributed a site and paid for the county courthouse, the city was established in 1871, and is the county seat of Dodge County.In the 19th century, this was a center of the timber and sawmill industry. During the Great Depression in 1937, the first Stuckey's convenience store, now well known along roadways throughout the Southeastern United States, was founded in Eastman.