August Heinrich Klostermann (16 May 1837, Steinhude, Schaumburg-Lippe – 11 February 1915, Kiel) was a German Lutheran theologian. He was the father of New Testament scholar Erich Klostermann (1870–1963).
He studied at Erlangen University and Berlin (1855–58). He was assistant pastor in Bückeburg (1859–64), and then tutor (German: repetent) and lecturer (German: privatdozent) at Göttingen (1864–68). In 1868, he became professor of Old Testament exegesis at Kiel.