Conyers is the county seat of Rockdale County, in Georgia, United States. The city is 24 miles east of downtown Atlanta and is a part of the Atla…Conyers is the county seat of Rockdale County, in Georgia, United States. The city is 24 miles east of downtown Atlanta and is a part of the Atlanta metropolitan area. As of 2020, its population was 17,305. The formerly separate town of Milstead is now part of Conyers.