Events from the year 1651 in art.

• Fontana dei Quattro Fiumi or "Fountain of the Four Rivers" completed by Gian Lorenzo Bernini

• David Bailly – Self-portrait with Vanitas symbols (approximate date)
• Guercino - The Libyan Sibyl
• Jacob Jordaens – The Triumph of Frederik Hendrik
• Nicolas Poussin
  • The Finding of Moses
  • The Holy Family
• Salvator Rosa – Democritus amid the Tombs
• David Teniers the Younger – Erzherzog Leopold Wilhelm in seiner Galerie in Brüssel ("Archduke Leopold William in his Gallery at Brussels")
• Diego Velázquez – The Rokeby Venus (c.1647-1651)

• August 13 - Balthasar Permoser, Austrian sculptor (died 1732)
• date unknown
  • Niccolò Bambini, Italian painter of the late-Renaissance and early-Baroque periods (died 1736)
  • Teresa Maria Languasco, Italian painter and monk (died 1698)
  • Willem van Ingen, Dutch Golden Age painter active in Italy (died 1708)
  • François-Alexandre Verdier, French painter, draftsman and engraver (died 1730)

• January - Jacob Franquart, Flemish painter, court architect and copper plate engraver (born 1582)
• January 27 - Abraham Bloemaert, painter (born 1566)
• May 9 - Cornelis de Vos, Flemish painter (born 1584)
• August 16 - Henricus Hondius II, Dutch engraver, cartographer and publisher (born 1597)
• August 27 – Jacob Adriaensz Backer, Dutch painter (born 1609)
• September 12 - Felix Castello, Spanish painter (born 1595)
• November 22 - Giovanni Battista Soria, Italian architect (born 1581)
• December 6 - Anna Visscher, Dutch artist, poet, and translator (born 1584)
• date unknown
  • Friedrich Brentel, German printmaker in engraving and etching, and miniature painter (born 1580)
  • Giovanni Domenico Cappellino Italian painter, active mainly in his native Genoa (born 1580)
  • Dirck Cornelis de Hooch, Dutch portrait painter (born 1613)
  • Panfilo Nuvolone, Italian Mannerist painter (born 1581)
  • Kanō Sansetsu, Japanese painter (born 1589)
  • John Taylor, portrait painter (born 1585)
  • Jan van den Hoecke, Antwerp painter and draftsman (born 1611)
  • Floris van Dyck, Dutch still life painter (born 1575)
  • Joris van Schooten, Dutch Golden Age painter (born 1587)
• probable - Francesco Guarino, Italian painter active mainly in Irpinia (born 1611)