Friedrich Julius Alfred Gleißberg (26 November 1864 – 21 August 1963) was a German classical oboist.
Born in Rockstedt, Gleißberg first attended the conservatory in Sondershausen and served as a military musician in the 107 Infantry Regiment in Leipzig.
From 1885 to 1888 he studied oboe with Gustav Hinke at the University of Music and Theatre Leipzig.
In 1888 he joined the spa orchestra in Interlaken, Switzerland and the Bilseschen chapel in Berlin.
Gleißberg was a member of the Leipzig masonic lodge Balduin zur Linde [de].