He was the son of Thomas Reeve, a husbandman, and received his education in a school kept by Mr. Matchet at Moulton, Norfolk.
On 30 June 1610 he was admitted a sizar of Gonville and Caius College, Cambridge, where he graduated B.A.
[1] After taking orders he was presented to the incumbency of Waltham Abbey, Essex, succeeding Thomas Fuller (1608–61), and he died there on 21 February 1671–2.
[2] During his incumbency at Waltham Abbey, the Royal Arms of Charles II were put up in the church.
Reeve, who was greatly admired as a preacher, published a number of sermons and devotional works.