Børresen is a surname. Notable people with the surname include:
Arne Børresen (1907–1947), Norwegian footballer Børge Børresen (1919–2007), Danish sailor Erik Børresen (1785–1860), Norwegian ship owner, merchant and philanthropist Geir Børresen (1942–2022), Norwegian actor and entertainer Hakon Børresen (1876–1954), Danish composer Hans Peter Børresen (1825–1901), Danish missionary Ida Børresen (born 1950), Norwegian civil servant Nils Elias Børresen (1812–1863), Norwegian politician Odd Børresen (1923–2010), Norwegian linguist, preacher, and missionary Ole Børresen, Danish sailor Urban Jacob Rasmus Børresen (1857–1943), Norwegian rear admiral and industry leader