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

André Olbrich (born 1967), German guitarist, Blind Guardian Erhard Olbrich (1941–2016), German psychologist (de) Herbert Olbrich (1897–1976)), Luftwaffe Generalleutnant Johanna Olbrich (1926–2004), East German spy Joseph Maria Olbrich (1867–1908), Austrian architect Jürgen O. Olbrich (born 1955), artist (de) Lachlan Olbrich (born 2003), Australian basketball player Marina Olbrich (born 1969), Russian-born German chess player

See also Olbrich Botanical Gardens, a botanical garden in Madison, Wisconsin, U.S.A. Olbricht