Alexander J. Craig (November 11, 1823 – July 6, 1870) was an American educator and politician from Wisconsin.
He moved to Palmyra, Wisconsin in 1843 where he taught school and farmed.
During the American Civil War, Craig served in the 40th Wisconsin Volunteer Infantry Regiment.
He was elected Superintendent of Public Instruction of Wisconsin and served from 1868 until his death in office.
This article about a member of the Wisconsin State Assembly is a stub.