The Royal Academy Exhibition of 1792 was the twenty forth annual Summer Exhibition of the British Royal Academy of Arts. It was held at Somerset House in London between 30 April and 9 June 1792. It was the first to be held following the death of Sir Joshua Reynolds, who had served as President of the Royal Academy since its foundation in 1768 and one of the driving forces of British art during his lifetime. Nonetheless, it was considered as showing the continued strength of the institution with growing numbers of submissions and financial earnings.
Reynolds was succeeded as president by the Pennsylvania-born artist Benjamin West best known for his neoclassical history paintings, who decisively defeated his fellow American by twenty nine votes to one in the election. West displayed two paintings Edward III Crossing the Somme and The Institution of the Order of the Garter he had produced for Windsor Castle celebrating the reign of Edward III.
The young Bristol-born artist Thomas Lawrence continued his rise with a series of portrait paintings. These included pictures featuring George III in his ceremonial robes and Lady Hamilton as La Penserosa. Another work by Lawrence Arthur Atherley as an Etonian has subsequently attracted attention. Other Lawrence submissions included pictures of Lady Charlotte Greville and Georgiana, Lady Apsley. John Hoppner featured portraits of the Duke of York and the Duchess of York, who had married the previous year in a diplomatic match between Britain and Prussia. He also produced a portrait of York's elder brother and heir to the throne George, Prince of Wales now in the Wallace Collection.
Francis Wheatley displayed several entries in his Cries of London series featuring everyday life in the capital. George Morland exhibited the genre painting The Benevolent Sportsman.
<Gallery Mode="packed" Heights="200"> File:Benjamin West (1738-1820) - The Institution of the Order of the Garter - RCIN 407521 - Royal Collection.jpg|The Institution of the Order of the Garter by Benjamin West File:Thomas Lawrence (1769-1830) - George III (1738âÂÂ1820) - VA.1950.0023.0001 - Herbert Art Gallery and Museum.jpg|Portrait of George III by Thomas Lawrence File:Lady Hamilton as Penserosa.png|Lady Hamilton as La Penserosa by Thomas Lawrence File:Sir Graham Moore by Sir Thomas Lawrence.jpg|Portrait of Graham Moore by Thomas Lawrence File:Portrait of Arthur Atherley as an Etonian LACMA 47.29.5.jpg|Arthur Atherley as an Etonian by Thomas Lawrence File:John Julius Angerstein and His Wife.jpeg|John Julius Angerstein and His Wife by Thomas Lawrence File:Philip James de Loutherbourg (1740-1812) - A Storm with Smuggler's Landing - BATVG , P , 1929.203 - Victoria Art Gallery.jpg|A Storm with Smuggler's Landing by Philip James de Loutherbourg File:George Morland (1763-1804) - Morning (The Benevolent Sportsman) - 1786 - Fitzwilliam Museum.jpg|The Benevolent Sportsman by George Morland File:Joseph Farington - Westminster Abbey and Bridge - Google Art Project.jpg|Westminster Abbey and Bridge by Joseph Farington File:Milk Below Maids.jpeg|Milk Below Maids by Francis Wheatley File:Anton Hickel - Roxelane und der Sultan.jpg|The Sultan by Anton Hickel File:Henry Singleton (1766-1839) - Manto and Tiresias - N01028 - National Gallery.jpg|Manto and Tiresias by Henry Singleton File:Henry Fuseli - Falstaff im Wäschekorb - 2541 - Kunsthaus Zürich.jpg|Falstaff in the Laundry Basket by Henry Fuseli File:A View on the Banks of the Tiber at Rome.png|A View on the Banks of the Tiber at Rome by Francis Towne File:William Redmore Bigg (1755-1828) - The Sailor Boy's Return from a Prosperous Voyage - BORGM 02351 - Russell-Cotes Art Gallery ^ Museum.jpg|The Sailor Boy's Return from a Prosperous Voyage by William Redmore Bigg File:John Webber (1751-1793) - The Abbey Mill, Shrewsbury, Shropshire - SHYMS, FA-2007-052 - Shrewsbury Museum and Art Gallery.jpg|The Abbey Mill, Shrewsbury by John Webber File:Hendrik Frans de Cort - The Gnoll and Castle, Neath.jpg|The Gnoll and Castle, Neath by Hendrik Frans de Cort File:Robert Dodd (1748-1815) - The 'Victory' Sailing from Spithead - BHC3694 - Royal Museums Greenwich.jpg|The Victory Sailing from Spithead by Robert Dodd File:Richard Westall - Rosebud, or the Judgement of Paris - B1977.14.4357 - Yale Center for British Art.jpg|Rosebud, a watercolour by Richard Westall File:William Marlow (1740-1813) - View near Naples - PD.1-1952 - Fitzwilliam Museum.jpg|View near Naples by William Marlow File:John Hoppner (1758-1810) - George IV as Prince of Wales - P563 - The Wallace Collection.jpg|George, Prince of Wales by John Hoppner File:Duke of York (Hoppner).jpg|Frederick, Duke of York by John Hoppner File:Frederica of Prussia duchess of York.jpg|Duchess of York by John Hoppner File:Martin Archer Shee (1769-1850) - Mr Lewis as the Marquis in 'The Midnight Hour' - NG677 - National Gallery.jpg|William Thomas Lewis in The Midnight Hour by Martin Archer Shee File:Sir Francis Buller, 1st Baronet.jpg|Portrait of Sir Francis Buller by Mather Brown File:General George Eliott MET DT5671.jpg|Portrait of Lord Heathfield by Mather Brown </gallery>