A search has been performed for nearly vertically upgoing neutrino-induced muons with the Antarctic Muon And Neutrino DetectorArray (AMANDA), using data taken over the three year period 1997–99. No excess above the expected atmospheric neutrino backgroundhas been found. Upper limits at 90% confidence level have been set on the annihilation rate of neutralinos at the center ofthe Earth, as well as on the muon flux at AMANDA induced by neutrinos created by the annihilation products.