Heidrich is a German surname. Notable people with the surname include:

Matthias Heidrich (born 1977), German footballer Richard Heidrich (1896–1947), German general Steffen Heidrich (born 1967), German footballer Theodore Heidrich (1930–2010), American politician Wolfgang Heidrich (born 1968), German-Canadian researcher

See also Reinhard Heydrich (1904–1942), high-ranking German Nazi official and Holocaust perpetrator Heydrich (surname) Hydrick