Leeds is a tricounty municipality located in Jefferson, St. Clair, and Shelby counties in the U.S. state of Alabama; it is an eastern suburb of Birmiā¦Leeds is a tricounty municipality located in Jefferson, St. Clair, and Shelby counties in the U.S. state of Alabama; it is an eastern suburb of Birmingham. As of the 2020 census, its population was 12,324.