Events in the year 1813 in Art.

• June 21 – Battle of Vitoria: The Marquess of Wellington, as victor, reclaims 83 paintings seized by Joseph Bonaparte from the Spanish Royal Collection which he is allowed to retain.

• Prix de Rome (for sculpture) – James Pradier

• Johann Peter Krafft – The Departure of the Militiaman
• Thomas Lawrence – Portrait of the Marquess Wellesley
• Samuel Morse – The Dying Hercules
• James Northcote – Portrait of Marc Isambard Brunel
• Johann Christian Reinhart – Blick auf Tivoli
• Thomas Phillips – Lord Byron in Albanian Dress
• J. M. W. Turner – Frosty Morning
• Mattheus Ignatius van Bree – Napoleon's Arrival in Amsterdam
• Willem Bartel van der Kool – Piano Practice Interrupted
• Richard Westall – Portrait of Lord Byron
• David Wilkie
  • The Letter of Introduction

• January 2 – Eliseo Sala, Italian painter (died 1879)
• March 4 – Wijnand Nuijen, Dutch land- and seascape painter (died 1839)
• March 27 – Nathaniel Currier, American illustrator (died 1888)
• April 2 – Thomas Frank Heaphy, English miniature painter (died 1873)
• April 18 – Franz Ittenbach, German religious painter (died 1879)
• July 28 – Mathilda Rotkirch, Finnish painter (died 1842)
• September 17 – John Jabez Edwin Mayall, English photographer (died 1901)
• date unknown
  • George Hollingsworth, American painter (died 1882)
  • Gaetano Milanesi, Italian art historian (died 1895)
  • Frederick Scott Archer, English sculptor and photographic pioneer (died 1857)
• probable date – O. G. Rejlander, Swedish-born photographer (died 1875)

• January 14 – William Marlow, English painter especially of marine scenes (born 1740)
• February 5 – William Berczy, Canadian pioneer and painter (born 1744)
• March 22 – Gabriel Gotthard Sweidel, Finnish church painter (born 1744)
• April 12 – Jean François Carteaux, French painter and army commander (born 1751)
• May 31 – Wincenty de Lesseur, Polish portrait painter (born 1745)
• June 19 – Johann Christoph Rincklake, German portrait painter (born 1764)
• June 20 – Joseph Chinard, French sculptor who worked in a Neoclassical style (born 1756)
• June 22 – Anton Graff, Swiss portrait painter (born 1736)
• July 29 – Valentine Green, English engraver (born 1739)
• November – Alessandro Longhi, Venetian portrait painter and printmaker in etching (born 1733)
• November 29 - Giambattista Bodoni, Italian typographer, type-designer, compositor, printer and publisher (born 1740)
• date unknown
  • Anthonie Andriessen, Dutch landscape painter (born 1746)
  • Edmund Garvey, Irish painter (born 1740)
  • Henry Walton, British painter and art dealer (born 1746)