Richard Franz Stöhr (11 June 1874 – 11 December 1967) was an Austrian composer, music author and teacher.

Born in Vienna, Stöhr studied composition with Robert Fuchs at the Vienna Conservatory. After working there as a repetiteur and choral instructor from 1900, he taught music (theory of harmony, counterpoint, form) from 1903 to 1938, being professor from 1915. Among his students were Herbert von Karajan, Rudolf Serkin, Erich Leinsdorf, Samuel Barber, Erich Zeisl, Louis Horst, Marlene Dietrich, Alois Hába and Hellmut Federhofer. Fired from the Vienna Academy due to his Jewish heritage in 1938, he emigrated to the US in 1939 and taught at the Curtis Institute of Music in Philadelphia. His students there included Leonard Bernstein and Eugene Bossart. From 1941 to 1950 he taught at St. Michael's College in Vermont, where he maintained emeritus status until 1960. He died in Montpelier, Vermont in the United States.