Fritz Baier (June 2, 1923 – March 3, 2012) was a German politician of the Christian Democratic Union (CDU) and former member of the German Bundestag.
Baier was a member of the German Bundestag from 26 June 1956, when he succeeded his party friend Eugen Leibfried, until 1976. Since 1957 he represented the constituency of Sinsheim in parliament.