Richard Phelps (1710–1785) was an 18th-century English portrait painter and designer. He painted portraits of gentry, a number of which are in the National Trust, Dunster Castle, University of Oxford, National Portrait Gallery, London, and other museums. The British Museum has an album of 312 of his drawings. Phelps was also a landscape designer, who was hired by Henry Fownes Luttrell to update the grounds of Dunster Castle.