Richard Fuller (c. 1713 – 2 January 1782) was an English banker and politician.
Some sources say he was the third son of the Reverend Joseph Fuller, a Baptist minister of Harwell in Berkshire and his wife Martha Hanson.
More likely he was the third surviving son of Thomas Fuller, a landowner at FitzHarris outside Abingdon, then in Berkshire, and his wife Hester Alder. This makes him the brother of the banker William Fuller and of Martha Fuller (1717-1805) who married the stationer George Flower (1715-1778), becoming the mother of Benjamin Flower and Richard Flower as well as mother-in-law of the Reverend John Clayton.
With Frazer Honywood in 1737 he became founding partner of a private bank in Lombard Street, City of London, known initially as Atkins, Honeywood & Fuller. The firm moved to Birchin Lane about 1754 and to Cornhill about 1774. In 1746 it became Honeywood & Fuller and went through several name changes until at his death it was Richard Fuller, Sons & Vaughan. By 1891, when it was taken over, it was Fuller, Banbury, Nix & Co and has since become part of the Royal Bank of Scotland.
He inherited FitzHarris from his father and, as a Berkshire landowner, was chosen High Sheriff of Berkshire in 1754.
Entering politics, at a by-election in 1764 he was elected unopposed as a Member of Parliament for Steyning in Sussex, filling the vacancy caused by Honywood's death. Changing seats, at the 1768 general election he was returned unopposed for in Hampshire and held that seat until the 1774 general election.