The year 1645 in music involved some significant events.
- Juan Hidalgo de Polanco becomes leader of the chamber musicians at Spain's royal court.
- Giovanni Battista Abatessa – Intessatura di varii fiori..., a collection of guitar music, published in Naples
- Girolamo Frescobaldi – Canzoni alla francese, a posthumous print
- February 9 – Johann Aegidus Bach, organist and conductor (died 1716)
- February 22 (twins)
- November 30 – Andreas Werckmeister, organist and composer (died 1706)