Events from the year 1645 in art.

• (unknown)

• Claude Lorrain - Landscape with Apollo and Mercury
• William Dobson - The Painter with Sir Charles Cottrell and another (approx. date)
• Rembrandt
  • Girl at a Window
  • Holy Family
  • Portrait of an Old Man
  • Self-portrait
• Salvator Rosa - Philosophy (approx. date)
• Diego Velázquez - Portrait of Sebastián de Morra (approx. date)

• Gianlorenzo Bernini - Truth Unveiled by Time

• January 11 - Matthias Rauchmiller, German sculptor active in Vienna (died 1686)
• August 30 - Giuseppe Avanzi, Italian painter of the Baroque period (died 1718)
• September - Romeyn de Hooghe, Dutch Baroque engraver and caricaturist (died 1708)
• September 14 - Jeremiah Dummer, American silversmith and portrait painter (died 1718)
• October 26 - Aert de Gelder, Dutch painter in the tradition of Rembrandt's late style (died 1727)
• December 6 – Maria de Dominici, Maltese sculptor and painter (died 1703)^[1]
• date unknown
  • Giovanni Antonio Fumiani, Italian painter of the Baroque period (died 1710)
  • François de Troy, French painter, father of Jean-François de Troy (died 1730)
  • Carlo Girolamo Bersotti, Italy painter of the Baroque period, specialized in painting still lifes (died unknown)
  • Sebastiano Taricco, Italian painter of the Baroque period (died 1710)
  • Jean-Baptiste Théodon, French sculptor (died 1713)
• probable
  • Giulio Giacinto Avellino, Italian painter (died 1700)
  • Urbano Romanelli, Italian painter in Rome and in churches at Velletri (died 1682)
  • Andrea Lanzani, Italian painter for the Habsburg court (died 1712)

• April 11 - Ferraù Fenzoni, Italian painter active in Todi
• April 14 - Shi Kefa, Chinese government official and calligrapher (born 1601)
• May - Ambrosius Bosschaert II, Dutch flower painter (born 1609)
• July 12 - Luciano Borzone, Italian painter of the Baroque period with an antique style (born 1590)
• September - Julius Porcellis, Dutch marine artist (born c.1610)
• December 12 - Giovanni Bernardino Azzolini or Mazzolini or Asoleni, Italian painter (born 1572)
• date unknown
  • Juan Alfonso Abril, Spanish painter active mainly in his native Valladolid (born unknown)
  • Christoffel van den Berghe, Dutch painter (born 1590)
  • Hans Gillisz. Bollongier, Dutch still life painter (born 1600)
  • Paolo Domenico Finoglia, Italian painter (born 1590)
  • Sebastiano Ghezzi, Italian painter and architect (born 1580)
  • Jacob van der Heyden, Flemish Baroque painter, sculptor and engraver (born 1573)
  • Francisco Varela, Spanish Baroque painter (born 1580)
  • Wen Zhenheng, Chinese Ming dynasty scholar, painter, and landscape garden designer (born 1585)