Hugh Montgomery, 1st Earl of Mount Alexander (c. 1623 – 15 September 1663), known as The Viscount Montgomery from 1642 to 1661, was an Irish peer. He was appointed to command his father's regiment, 1642. He was commander-in-chief of the Royalist army in Ulster in 1649 and seized successively Belfast, Antrim, and Carrickfergus. He surrendered to Oliver Cromwell, and was banished to Holland. At the Restoration in 1660 he was appointed life master of ordnance in Ireland and one year later created Earl of Mount Alexander.
Hugh Montgomery was born about 1623, was eldest son of Hugh Montgomery, 2nd Viscount Montgomery, and his wife, Jean Alexander, eldest daughter of Sir William Alexander, 1st Earl of Stirling. In his childhood his left side was severely injured by a fall, and an extensive abscess was formed, which on healing left a large cavity through which the action of the heart could be plainly discerned He wore a metal plate over the opening.
Notwithstanding his deformity, he had a fairly good constitution, and before reaching his twentieth year travelled through France and Italy. On his return he was brought to Charles I at Oxford, who was curious to see the strange phenomenon presented in Montgomery's case. He remained some days with the king, and went home, after receiving tokens of the royal favour, and giving assurances of his own loyalty.
By this time the Irish rebellion of 1641 had broken out, and Montgomery's father had raised troops in maintenance of the royal authority, but he died suddenly on 15 November 1642. Montgomery succeeded as 3rd Viscount, and was appointed to the command of his father's regiment. Under Scottish Major-General Robert Monro, who married his mother, Montgomery fought at the Battle of Benburb in June 1646. The king's troops were defeated, and the Viscount, when heading a charge of cavalry, was made prisoner. He was sent to Clochwater Castle, where he remained until October 1647, when he was exchanged for Richard, 2nd Earl of Westmeath.