The year 1660 in music involved some significant events.

• Dieterich Buxtehude becomes organist at Helsingør in Denmark.
• Pelham Humphrey and John Blow become members of the Chapel Royal.

• Johann Crüger – Musicae Practicae
• Nicolas Fleury – Methode pour apprendre facilement a toucher le theorbe sur la basse-continuë
• Tommaso Marchetti – Intavolatura della chitarra spagnola

• Johann Rudolf Ahle – Erstes Zehn Neuer Geistlicher Arien
• Christoph Bernhard – Fürchtet euch nicht
• Samuel Capricornus – Jubilus Bernhardi
• Maurizio Cazzati – Trattenimenti per camera, Op.22
• Giovanni Legrenzi – Sentimenti devoti, Op.6
• Matthew Locke – Consort of Four Parts
• Giovanni Antonio Pandolfi Mealli (1624-1687)
  • Sonate a violino solo, per chiesa e camera, Op. 3 (Innsbruck: Michael Wagner)
  • Sonate a violino solo, per chiesa e camera, Op. 4 (Innsbruck: Michael Wagner)
• Marco Uccellini
  • Ozio Regio, Op.7
  • Sinfonie Boscarecie, Op. 8
• Bauyn Manuscript

• Antonio Bertali – La magia delusa
• Francesco Cavalli – Xerxès
• Juan Hidalgo de Polanco – Celos aun del aire matan
• Francesco Manelli – La filo
• Francesco Rossi – L'Arianna^[1]
• Giuseppe Tricarico – L'Oronie
• Filippo Vismarri – L'Orontea
• Pietro Andrea Ziani – L'Antigona delusa da Alceste

• April 6 – Johann Kuhnau, organist and composer (died 1722)
• April 19 – Sebastián Durón, composer of stage music (died 1716)
• May 2 – Alessandro Scarlatti, Italian composer (died 1725)
• August 20 – Mathieu Lanes, composer and harpsichordist (died 1725)
• December 4 (baptized) – André Campra, French composer (died 1744)
• date unknown
  • Rosa Giacinta Badalla, Italian composer and nun (died c. 1710)
  • Johann Joseph Fux, composer (died 1741)

• March 2 (buried) – Friederich Stellwagen, organ builder (born 1603)
• date unknown
  • Johann Klemm, German organist and composer (born c.1593)
  • Johannes Praetorius, organist and composer (born 1595)