Clara Mannes (born Clara Damrosch; 12 December 1869, Breslau, Silesia – 16 March 1948, New York City) was a German-born American musician and music educator. With her husband, David Mannes, she founded the Mannes College The New School for Music in 1916 (then simply the David Mannes Music School).
Mannes was born in Breslau. Her mother, Helene von Heimburg, was a former opera singer, and her father was conductor Leopold Damrosch. Her siblings were conductors Frank Damrosch and Walter Damrosch. Her parents were Lutheran (her paternal grandfather was Jewish).
Her children were musician Leopold Mannes and author Marya Mannes.