Gildemeister is a German surname. Notable people with the surname include:
Alfred Gildemeister (1875–1928), German politicianHans Gildemeister (born 1956), Chilean tennis player, brother of HeinzHeinz Gildemeister (born 1960), Chilean tennis player, brother of HansJohann Gildemeister (1812–1890), German OrientalistKarl Gildemeister (1820–1869), German architectLaura Gildemeister (born 1964), Peruvian tennis player, ex-wife of HeinzOtto Gildemeister (1823–1902), German journalist and translatorRita Gildemeister (born 1947), German athlete