Archibald Alexander (April 17, 1772 – October 22, 1851) was an American Presbyterian theologian and professor at the Princeton Theological Seminary. He served for 9 years as the President of Hampden–Sydney College in Virginia and for 39 years as Princeton Theological Seminary's first professor from 1812 to 1851.

Alexander Archibald may refer to:

• Alexander Archibald (politician) (1869–1922), mayor of Newark, New Jersey
• Alexander Lackie Archibald (1788–1859), farmer, tanner, boot manufacturer and politician in Nova Scotia
• Sandy Archibald, Alexander "Sandy" Archibald, (1897–1946), Scottish footballer