Hurvitz was born in Nahlat Yehuda (today part of Rishon LeZion) in 1918. Between 1938 and 1941 he was a member of the secretariat of HaNoar HaOved VeHaLomed, and served in the Jewish Brigade during World War II. In 1961 he joined Mapai and became a member of the party's central committee. He also served as a member of the Moshavim Movement's secretariat between 1961 and 1965.
In 1965 he joined David Ben-Gurion's new Rafi party alongside his brother Amos, and followed Ben-Gurion to the new National List in 1969, whilst Amos remained in Rafi. In that year he was elected to the Knesset on the party's list. Following its merger into the new Likud alliance in 1973, Hurvitz was re-elected on Likud's list. He was re-elected in 1977, and was appointed Minister of Industry & Tourism, a role he held until October 1978. In November 1979 he was appointed Minister of Finance, but left the cabinet again on 13 January 1981. On 26 January he and two other Likud MKs broke away from the Likud to form Rafi – National List. On 19 May he left the new faction to join Moshe Dayan's Telem.
After being placed third on Telem's list, he lost his seat in the 1981 elections when the party won only two seats. However, following Dayan's death in October 1981, Hurvitz re-entered the Knesset as his replacement. In June 1983 he left Telem and re-formed Rafi – National List. Shortly before the 1984 elections he renamed it Ometz (lit. Courage).