Sir Edward Barkham, 1st Baronet of South Acre (1591 – 2 August 1667) was an English politician who sat in the House of Commons in 1625 and 1626. Barkham was the son of Sir Edward Barkham. He matriculated at King's College, Cambridge in spring 1611 and was awarded BA in 1613 on the visit of Prince Charles. He was admitted at Lincoln's Inn on 13 February 1614. He was knighted in 1623 and then created a baronet in the Baronetage of England on 26 June 1623. In 1625 he was elected Member of Parliament for Boston. He was re-elected MP for Boston in 1626. In 1635 he became High Sheriff of Norfolk.