Alexander Ferrier Mitchell (1822–1899) was a Scottish ecclesiastical historian and Moderator of the General Assembly of the Church of Scotland in 1885.
He was born at Brechin on 10 September 1822, son of David Mitchell, convener of local guilds, and his wife Elizabeth, daughter of James Ferrier of Broadmyre.
After being educated at Brechin grammar school, he proceeded in 1837 to St. Mary's College, St. Andrews, winning an entrance bursary in classics.
Mitchell held his chair for 26 years, and during that period published a number of works on Scottish ecclesiastical history.
He was an active member of the Scottish Historical and Text Societies, and took a prominent part in the general councils of the Presbyterian Alliance, attending the meeting at Philadelphia in 1880.
In 1885 he was elected moderator of the church of Scotland, and the address he delivered at the close of the session was separately published (Edinburgh and London, 1885).