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. Born John Shute, he had assumed by Act of Parliament the surname of Barrington in lieu of his patronymic in 1716, having previously succeeded to the estates of Frances Barrington, married to his cousin.