Events from the year 1739 in art.

• Royal sculptor Edme Bouchardon is commissioned to design the Fontaine des Quatre-Saisons in Paris. This year also he presents the first (terracotta) model of Cupid Fashioning a Bow out of the Club of Hercules.

• Francis Bindon – Portrait of Dean Jonathan Swift (for Chapter of St Patrick's Cathedral, Dublin)
• François Boucher – The Breakfast
• Joseph Parrocel – Saint Francis Regis Interceding for the Plague Victims
• Antoine Pesne – Portrait of Frederick the Great as Crown Prince
• Francesco Carlo Rusca – Portrait of Lady Mary Wortley Montagu
• Paul Troger – Apotheosis of Charles VI as Apollo (fresco for Imperial staircase ceiling at Göttweig Abbey, Austria)

• February 23 - Peter Adolf Hall, Swedish-French artist primarily of miniature paintings (died 1793)
• ?August – Francis Towne, English water-colour painter (died 1816)
• August 21 – Mariano Salvador Maella, Spanish painter and engraver (died 1819)
• October 3 – Valentine Green, engraver (died 1813)
• date unknown
  • Antoine Cardon, also known as Cardon the Elder, Belgian painter, portraitist and engraver (died 1822)
  • Nicolas Benjamin Delapierre, French artist (died 1800)
  • Kitao Shigemasa, Japanese ukiyo-e artist from Edo (died 1820)
  • Giuseppe Levati, Italian painter and designer of the late-Baroque and Neoclassicism period (died 1828)
• probable – Deng Shiru, Chinese calligrapher during the Qing Dynasty (died 1805)

• January 20 – Francesco Galli Bibiena, Italian architect/designer/painter (born 1659)
• March 31 – Magnus Berg, Norwegian painter, woodcarver, sculptor and non-fiction writer (born 1666)
• April 23 - Andrey Matveyev, Russian portraitist (born 1702)
• April 27 – Pierre Imbert Drevet, French portrait engraver (born 1697)
• May 10 – Cosmas Damian Asam, German Baroque painter and architect (born 1686)
• June 27 – Thomas Wedgwood III, potter (born 1685)
• July 15 – Juan Ramírez Mejandre, Spanish Baroque sculptor (born 1680)
• December 23 – John Vanderbank, English portrait painter and book illustrator (born 1694)
• date unknown
  • Charles Jervas, Irish portrait painter, translator, and art collector (born 1675)
  • Carlo Moscatiello, Italian painter of quadratura (born 1650)