Schrempf is a German surname. Notable people with the surname include:
Christoph Schrempf (1860–1944), German evangelical theologian and philosopherDetlef Schrempf (born 1963), German basketball player who played in the National Basketball AssociationFriedrich Schrempf (1858–1912), editor and member of the German ReichstagRomana Schrempf (born 1986), Austrian biathlete and cross-country skier (w:de:Romana Schrempf on German Wikipedia)