Her first appearance came at the 1964 Summer Paralympics, the second ever Paralympics, held in Tokyo, Japan. Zipora competed in five events and won a medal in each; three athletics field events; the women's doubles table tennis, alongside playing partner Mishani; and 50 metre freestyle swimming. She took gold in the women's shot put D, setting a new world record of 5.16 metres. She also won bronze medals in the javelin, discus and table tennis and a silver in her swimming event behind compatriot Mishani.