Events from the year 1745 in art.

• Hieronimo Miani completes the decoration of Christiansborg Palace in Copenhagen.

• Andien de Clermont – Monkey Room ceiling, Kirtlington Park, Oxfordshire, England
• William Hogarth
  • Captain Lord George Graham in his Cabin
  • David Garrick as Richard III
• Allan Ramsay – Lost portrait of Charles Edward Stuart
• Richard Wilson – The Cock Tavern at Cheam

• February 2 – John Nichols (printer), English printer and author (died 1826)
• March 5 – Christina Elisabeth Carowsky, Swedish portrait painter (died 1797)
• March 29 – John Russell, English portrait painter (died 1806)
• May 5 – Carl August Ehrensvärd, Swedish naval officer, painter, author and neo-classical architect (died 1800)
• May 12 – Jens Juel, Danish portrait painter (died 1802)
• June 16 – Sigmund Freudenberger, Swiss painter (died 1801)
• June 26 – Nils Schillmark, Swedish-born painter who lived and worked in Finland (died 1804)
• July 6 – Jean-Joseph Taillasson, French painter (died 1809)
• August 3 – Domenico Pozzi, Swiss painter (died 1796)
• October 6 – Franciszek Smuglewicz, Polish draughtsman and painter (died 1807)
• date unknown
  • Luigi Acquisti, Italian sculptor mainly known for his works in the neoclassical style (died 1823)
  • Pyotr Drozhdin, Russian painter] (died 1805)
  • Anne Forbes, Scottish portrait painter (died 1834)
  • Gim Hongdo, Korean painter of the late Joseon period (died 1806)
  • Anton Hickel, Czech painter (died 1798)
  • Yi In-mun, Korean court painter of the late Joseon Dynasty, primarily of landscapes (died 1821)
  • Francis Jukes, English etcher, engraver and publisher (died 1812)
  • Pierre Lacour, French painter (died 1814)
  • Wincenty de Lesseur, Polish portrait painter (died 1813)
  • Uragami Gyokudo, Japanese musician, painter, poet and calligrapher (died 1820)
  • 1745/1749: Gottlieb Welté, German etcher and landscape painter (died 1792)

• February 23 – Joseph Effner, German architect and interior decorator (born 1687)
• May 28 – Jonathan Richardson, English portrait painter, writer on art and collector (born 1667)
• June 13 – Domenico Antonio Vaccaro, Italian painter, sculptor and architect (born 1678)
• June 28 – Giovanni Maria delle Piane, court painter (born 1660)
• September 14 – Martino Altomonte, Italian fresco painter (born 1657)
• December 19 – Jean-Baptiste van Loo, Dutch painter (born 1684)
• date unknown
  • Pietro Giovanni Abbati, Italian set designer, painter and engraver (born 1683)
  • Claude Du Bosc, French engraver (born 1682)
  • Mehmet Emin Tokadi, Ottoman Sufi saint, writer, calligrapher, and scholar (born 1664)
  • Willem Van der Hagen, Dutch painter who settled in Ireland, founder of the Irish school of landscape painting (born unknown)
• probable – Johan Richter, painter of landscapes or vedute of Venice (born 1665)