Constance Bache (; 11 March 1846 – June 1903) was an English composer, pianist and teacher.
Bache was born in Edgbaston, the daughter of Samuel Bache (1804–1876), a Unitarian minister at the Church of the Messiah, Birmingham; she was the sister of Francis Edward Bache and Walter Bache; an uncle on her mother's side was James Martineau.
After learning from her brother Walter, she studied at the Munich Conservatorium and subsequently under Karl Klindworth and Frits Hartvigson.
After an injury to her right hand, Bache gave up public performance excepting occasional Birmingham concerts.
In 1883 she moved to London, where she took up teaching and writing - especially translation from German.
She wrote a biography of her two brothers, Brother Musicians: Reminiscences of Edward and Walter Bache, which was published in 1901.