Faussett was ordained in 1746, and from 1748 to 1750 held the living of Alberbury in Shropshire. From 1750 he lived for some time at Street End House, near Heppington, without clerical duties. Writing to his friend Andrew Ducarel in 1764, he says that he is sorry he ever took orders. Towards the close of his life Archbishop Secker gave him the rectory of Monks Horton and the perpetual curacy of Nackington, both in Kent. In 1763 he was elected fellow of the Society of Antiquaries. From about 1750 he had devoted special attention to antiquities, chiefly through barrow-digging, and was also a good heraldist and genealogist, visiting about 160 parish churches in east Kent to copy monumental and armorial inscriptions. His papers were used by Edward Hasted for his History of Kent, who described him as "living entirely rusticated at Heppington". Faussett formed a collection of more than five thousand Roman and English coins, most of which were sold at Sotheby's on 3 December 1853. He had melted down his duplicates, to the weight of 150 lbs., into a bell inscribed Audi quid tecum loquitur Romana vetustas—Ex ære Romano me conflari fecit B. F. A. S. S. 1766. He began his excavations of Kentish barrows, chiefly of the Anglo-Saxon period, in 1757 at Tremworth Down, Crundale. He afterwards went to work at Gilton, where he opened 106 graves during eleven days in 1760, 1762, and 1763, and at Kingston Down, where he opened 308 graves between August 1767 and August 1773. From 1771 to 1773 he also explored 336 graves at Bishopsbourne, Sibertswold, Barfriston Down, Bekesbourne, and Chartham Down. Faussett made pecuniary sacrifices in order to excavate, and superintended the opening of barrows with "almost boyish enthusiasm". He kept a journal of his operations, minutely recording each grave's contents. This was edited by Charles Roach Smith from the original manuscript in the possession of Joseph Mayer, and published with notes and engravings in 1856 as Inventorium Sepulchrale. From the numerous antiquities found by him, Faussett formed a collection which was especially rich in Anglo-Saxon objects of personal adornment, such as fibulae, pendant ornaments, beads, buckles, etc. After Faussett's death this collection remained almost unknown till it was exhibited in 1844 at the Canterbury Archaeological Association's meeting at Canterbury by its owner, Dr. Godfrey Faussett, grandson of Bryan Faussett. In August 1853 Dr. G. Faussett's son Bryan offered it for sale to the British Museum, only for it to be unwisely declined by the trustees. Some outcry was raised in archaeological circles without effect. In 1855 the collection was bought by Joseph Mayer, and is now in the World Museum, Liverpool.
During the last twenty years of his life Faussett suffered from gout, before dying at his seat at Heppington on 20 February 1776. There is a monument to him in Nackington Church, Kent.
Personal life
Faussett married Elizabeth, daughter of the Rev. Rowland Curtois of Hainton, Lincolnshire, and had by her two sons and a daughter. The eldest son, Henry Godfrey Faussett, helped his father in his excavations and succeeded to the estates.