The year 1644 in music involved some significant events and new musical works.

• 21 June – Future Dean of Salisbury Thomas Pierce graduates M.A. from Magdalen College, Oxford, where he is noted as a "musician and poet".
• date unknown – Pieter and François Hemony cast the world's first tuned carillon, which is installed in Zutphen's Wijnhuistoren.^[1]

• Johannes Eccard & Johann Stobaeus – Part 2 of Der Preussischen Fest-Lieder: Von Ostern an biß Advent (The Prussian Feast-day Songs: from Easter to Advent) for five, six, seven, and eight voices (Königsberg: Johann Reusnern)

• Nicolaus à Kempis – Symphoniae, vol. 1
• Bonaventura Rubino – Vespro dello Stellario
• Barbara Strozzi – Il primo libro di madrigali

• Francesco Sacrati – La finta pazza
• Sigmund Theophil Staden – Seelewig, the first German singspiel
• Francesco Cavalli – La Deidamia and L'Ormindo

• January 14 – Thomas Britton, English concert promoter (died 1714)
• August 12 – Heinrich Ignaz Franz Biber, German composer of sonatas (died 1704)^[2]
• December 23 – Tomás de Torrejón y Velasco, Peruvian organist and composer (died 1728)
• date unknown
  • Maria Cattarina Calegari, Italian composer, singer, organist, and nun (died after 1675)^[3]
  • Václav Karel Holan Rovenský, Czech organist and composer (died 1718)
• probable
  • Ignazio Albertini, Italian violinist and composer (died 1685)
  • Giovanni Battista Vitali, Italian composer of sonatas (died 1692)^[2]

• Robert Ramsey, British organist and composer (born 1590s)