Franz Mück (born October 3, 1898 in Vienna, Austria-Hungary; died November 3, 1957 in Bad Reichenhall) was a German jazz pianist, composer and arranger.
He studied music and began composing in 1920. From 1930 he worked in Berlin in Oskar Joost's orchestra; further recordings were made in this decade with Richard Forst, Eugen Wolff and Erwin Steinbacher.
In the early 1940s he played in Berlin with Hans Georg Schütz, Theo Reuter, Kurt Wege, Albert Vossen, Henk Bruyns, Horst Winter, Charlie & His Orchestra, Erhard Bauschke, George Trapp, Willi Stech and Heinz Wehner