Events from the year 1764 in art.

• February - Joshua Reynolds co-founds The Club with writer Samuel Johnson.
• Johann Joachim Winckelmann's Geschichte der Kunst des Alterthums ("History of Ancient Art") is published.

• Pompeo Batoni – Portrait of the Duke of York
• Nicola Bertucci and Carlo Lodi – The Pleasures of Country Life (tempera paintings for Villa Sampiera, Bologna)
• Vigilius Eriksen – Catherine II Before the Mirror
• Joshua Reynolds – Miss Nelly O'Brien
• Charles-Amédée-Philippe van Loo – The Magic Lantern

• April 1 - Barbara Krafft, Austrian portrait painter (died 1825)
• April 13 – Giacomo Guardi, Italian veduta painter (died 1835)
• April 14 – Firmin Didot, French printer, engraver, and type founder (died 1836)
• April 20 – Rudolph Ackermann, Saxon-born printer and lithographer (died 1834)
• April 30 – Luigi Ademollo, Italian painter (died 1849)
• May 11 – Grigory Ugryumov, Russian painter (died 1823)
• May 20 – Johann Gottfried Schadow, German sculptor (died 1850)
• July 9 – Louis-Pierre Baltard, architect and engraver (died 1846)
• July 12 – Charles Thévenin, neoclassical French painter, known for heroic scenes (died 1838)
• August 22 – Charles Percier, French architect and designer (died 1838)
• September 18 – Mauro Gandolfi, Italian painter and engraver of the Bolognese School (died 1834)
• October 14 – Ferdinand Runk, German-Austrian landscape painter, draftsman and etcher (died 1834)
• October 19 - Johann Christoph Rincklake, German portrait painter (died 1813)
• Unknown
  • Jacques-Louis Copia, French engraver (died 1799)
  • Giovanni Folo, Italian engraver of the Neoclassic period (died 1836)
• Probable
  • Qian Du, Chinese landscape painter during the Qing Dynasty (died 1844)

• March 13 – Okumura Masanobu, Japanese print designer, book publisher, and painter (born 1686)
• April 9 – Marco Benefial, Italian, proto-Neoclassical painter, mainly active in Rome (born 1684)
• May 3 – Francesco Algarotti, Italian philosopher, engraver and art critic (born 1712)
• July 20 – Peter van Bleeck, portrait painter and engraver (born 1697)
• August 23 – Johanna Marie Fosie, Danish painter and first professional native female artist in Denmark (born 1726)
• September 1 – Sebastiano Conca, Italian painter (born 1680)
• October 26 – William Hogarth, English painter credited with pioneering western sequential art (born 1697)
• November 13 – John Wootton, English painter of sporting subjects, battle scenes and landscapes (born 1682)
• Undated – Francesco Zucchi, Italian engraver (born 1692)