Viscount Barrington, of Ardglass in the County of Down, was a title in the Peerage of Ireland. It was created in 1720 for the lawyer, theologian and politician John Barrington. He was made Baron Barrington, of Newcastle in the County of Limerick, also in the Peerage of Ireland, at the same time.

John Barrington, 1st Viscount Barrington, known as John Shute until 1710, was an English dissenting theologian and Whig politician who sat in the House of Commons from 1715 to 1723.