Sveistrup is a Danish surname. Notable people with the surname include:
Hans Sveistrup (1815–1893), Danish priest Poul Sveistrup (1848–1911), Danish social statistician Søren Sveistrup (born 1968), Danish screenwriter Jody Sveistrup (born 1969), Canadian curler Jakob Sveistrup (born 1972), Danish singer
See also Søren Svejstrup (born 1937), Danish diver Svejstrup, Danish village