Peter Gunning (1614 – 6 July 1684) was an English Royalist church leader, Bishop of Chichester and Bishop of Ely.
LifeHe was born at Hoo St Werburgh, in Kent, and educated at The King's School, Canterbury and Clare College, Cambridge, where he became a fellow in 1633. Having taken orders, he advocated the Royalist cause eloquently from the pulpit. In 1644, during the English Civil War, he retired to Oxford, and held a chaplaincy at New College until the city surrendered to the Parliamentary forces in 1646. Subsequently he was chaplain, first to the royalist Sir Robert Shirley of Eatington (1629–1656), and then at the Exeter House chapel. After the Restoration in 1660 he was installed as a canon of Canterbury Cathedral. In the same year he returned to Cambridge as Master of Corpus Christi, and was appointed Lady Margaret's Professor of Divinity. He also received the livings of Cottesmore, Rutland, and Stoke Bruerne, Northamptonshire.
In 1661 he became head of St John's College, Cambridge, and was elected Regius Professor of Divinity.While he served as Regius Professor of Divinity he established an Arminian soteriological tradition at Cambridge that was furthered by his successor Joseph Beaumont. He was consecrated bishop of Chichester in 1669, and was translated to the see of Ely in 1674–1675. Holding moderate religious views, he disliked equally Puritanism and Roman Catholicism.