Eric Graham (14 December 1888 – 18 January 1964) was an eminent Anglican priest in the mid 20th century.
Graham was born into an ecclesiastical family, a branch of the Dukes of Montrose settled in Ireland in the eighteenth century; his father was Malcolm Graham, sometime Archdeacon of Stoke-upon-Trent. Graham was educated at Cheltenham College and Oriel College, Oxford, and ordained after a period of study at Wells Theological College in 1913. He was Vice-Principal of Salisbury Theological College, then Fellow and Dean of Oriel College, Oxford. Next he was Rector of Boyton-cum-Sherrington and after that Principal of Cuddesdon Theological College. In 1944 he became Bishop of Brechin, a post he held until 1959.
He married in 1919 Phyllis Norton Buckle, whose father was a much decorated major-general in the British army, and with whom he had six recorded children including the noted crossword compiler John Galbraith Graham.