Gjessing is a Danish and Norwegian surname. Notable people with the surname include: Alf Gjessing Gustav Antonio Gjessing (1835–1921), Norwegian philologist Gutorm Gjessing Helge Gjessing Just Gjessing Ketil Gjessing (born 1934), Norwegian poet Kristian Gjessing (born 1978), Danish handball player Poul Ib Gjessing Søren Christian Gjessing