Franz Bauer (1798, Vienna - 14 March 1872, Vienna) was an Austrian sculptor in the late Classical style.
From 1814, he studied at the Academy of Fine Arts, Vienna, with Johann Nepomuk Schaller then, after 1815, worked in the studios of Josef Klieber.
A travel grant enabled him to study in Rome, where he worked with Bertel Thorvaldsen.
He returned to Vienna in 1842 and taught at the Academy.
His best known students included Carl Kundmann, Antonín Pavel Wagner, Johannes Benk, Rudolf Weyr and Viktor Oskar Tilgner.