George Cromer (died 1543) was Archbishop of Armagh and Primate of All Ireland in the reign of Henry VIII of England, from 1521/2.
He was English by birth, a descendant of the Cromer (a.k.a. Crowemer) family of Tunstall, Kent. Caught up in Henry's Reformation of the Church of England, he was deprived of his see of Armagh. He continued in place as Archbishop of Armagh, despite suspicions from Henry about his true beliefs and also despite being suspended by the Pope on a charge of heresy.
He was Lord Chancellor of Ireland 1532-4, as a placeman of Garrett, 9th Earl of Kildare, whose family dominated Irish politics almost entirely from the 1470s to the late 1530s.