Son of the Review William Beveridge, Bachelor of Divinity, he was born at Barrow, near Leicester, and baptised on February 21, 1637, at Barrow, Leicestershire, of which his grandfather, father, and elder brother John were successively vicars.
On May 24, 1653, he was admitted a sizar in Street John"s College, Cambridge, with Bullingham as his tutor. Doctor Anthony Tuckney was then head of the college, and took a special interest in young Beveridge. Beveridge specially devoted himself to the learned languages, including the oriental.
In 1656, he proceeded H.A., and in 1660 Master of Arts On January 3, 1660-1661 he was ordained deacon by Doctor Robert Sanderson, Bishop of Lincoln.
He was rector of Ealing, 1661-1672, and of Saint Peter"s, Cornhill, London, 1672–1704, when he became bishop. On December 22, 1674, he was collated to the prebend of Chiswick in Saint Paul"s, London.
In 1679 he proceeded Doctor of Divinity On November 3, 1681, he was appointed Archdeacon of Colchester. On November 27, 1681 he preached a sermon on the Excellency and Usefulness of the Common Prayer.
lieutenant rapidly went through four editions.
In 1683 he preached another popular sermon on the anniversary of the Great Fire of London in 1666. On November 5, 1684 he was made prebendary of Canterbury in succession to Peter du Moulin. In 1687-1688 he joined with Doctor Horneck and others in forming religious societies for "reformation of manners." In 1689 he became president of Sion College.
He was installed bishop of Saint Asaph on July 16, 1704.
He died in apartments in the cloisters of Westminster Abbey in London on March 5, 1708. During his lifetime Beveridge refused to sit for his portrait, but following his death Benjamin Ferrers, a relative, painted one, now in the Bodleian Library, Oxford, from his corpse.
