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