Gildemeister is a German surname. Notable people with the surname include:
Alfred Gildemeister (1875–1928), German politician
Hans Gildemeister (born 1956), Chilean tennis player, brother of Heinz
Heinz Gildemeister (born 1960), Chilean tennis player, brother of Hans
Johann Gildemeister (1812–1890), German Orientalist
Karl Gildemeister (1820–1869), German architect
Laura Gildemeister (born 1964), Peruvian tennis player, ex-wife of Heinz
Otto Gildemeister (1823–1902), German journalist and translator
Rita Gildemeister (born 1947), German athlete