Geelmuyden is a surname. Notable people with the surname include:
August Geelmuyden Spørck (1851–1928), Norwegian military officer and politician for the Liberal Party Christian Torber Hegge Geelmuyden (1816–1885), Norwegian navy officer and politician Hans Geelmuyden (1844–1920), Norwegian astronomer Herman Geelmuyden (born 2002), Norwegian footballer Ivar Christian Sommerschild Geelmuyden (1819–1875), Norwegian politician Knud Geelmuyden Fleischer Maartmann (1821–1888), Norwegian politician Kristian Geelmuyden (born 1875), Norwegian politician for the Conservative Party Marie Geelmuyden (1856–1935), Norwegian chemist, teacher and textbook author, first Norwegian woman to receive a degree in science Niels Christian Geelmuyden (born 1960), Norwegian journalist and writer, mostly known for his interviews and essays