Michael Cardinal Logue was an Irish prelate of the Catholic Church. He served as Archbishop of Armagh and Primate of All Ireland from 1887 until his death in 1924. He was appointed a cardinal in 1893.

The Archbishop of Armagh is an archiepiscopal title which takes its name from the city of Armagh in Northern Ireland. Since the Reformation, there have been parallel apostolic successions to the title: one in the Roman Catholic Church and the other in the Church of Ireland. The archbishop of each denomination also holds the title of Primate of All Ireland.