Felix Otto Dessoff was a German conductor and composer.
As a student at the Leipzig Conservatory from 1851–54, Dessoff studied composition, piano and conducting with some of the foremost teachers of the day, including Ignaz Moscheles for piano and Moritz Hauptmann and Julius Rietz for composition. On November 16, 1853, a symphony of his was performed by the Leipzig Gewandhaus Orchestra; the following day he met Johannes Brahms, with whom he formed a lasting friendship and artistic relationship.
It was as a conductor that he primarily established his reputation. His first conducting post was at Actien Theater in Chemnitz. After that, he was successively director of music in Altenburg, Düsseldorf, Kassel, Aachen and Magdeburg. In 1860 he was offered a position with the Vienna Court Opera.