Henry was born at Broad Oak, Iscoyd, a farmhouse on the borders of Flintshire and Shropshire, Wales, United Kingdom. His father, Philip Henry, was a Church of England cleric and had just been ejected under the Act of Uniformity 1662. Unlike most of his fellow-sufferers, Philip possessed some private means, and was thus able to give his son a good education. Matthew went first to a school at Islington, at that time a village just outside London, and then to Gray's Inn, in the heart of the capital. He soon gave up his legal studies for theology, and in 1687 became minister of a Presbyterian congregation at Chester. While in Chester, Henry founded the Presbyterian Chapel in Trinity Street. He moved again in 1712 to Mare Street, Hackney. Two years later (22 June 1714), he died suddenly of apoplexy at the Queen's Aid House (41 High Street) in Nantwich, while on a journey from Chester to London.