Andrew Jackson Clements (December 23, 1832 – November 7, 1913) was a surgeon and an American politician as a member of the United States House of Representatives for the 4th congressional district of Tennessee.

Clements was born in Clementsville, Tennessee, in Clay County, son of Christopher Clements and Polly Fraim and grandson of John Clemans (Revolutionary War Veteran) and Eilzabeth Eagle.

His first wife, Nancy Jones Clements died in 1858 and he later married Matilda Harlan by whom he had four children: Mollie, Carlos, Carolyn, and Fred.

During the Civil War, Clements was a surgeon with the First Regiment, Tennessee Mounted Volunteer Infantry (Union).

He resumed the practice of his profession and established a school on his estate for the people of that section of the Cumberland highlands.