After finishing high school, he attended universities in Russia, Germany and Switzerland, gaining a PhD in philosophy.

His wife and two children were killed in the Holocaust, and Nurock made aliyah to Mandatory Palestine in 1947.

After arriving in Palestine, Nurock became involved in politics, joining Mizrachi, and was elected to the first Knesset in 1949 on the United Religious Front list (an alliance of Mizrachi, Hapoel HaMizrachi, Agudat Yisrael and Poalei Agudat Yisrael).

Nurock was re-elected in 1955 (by which time Mizrachi had merged into the National Religious Party), 1959 and 1961, serving until his death on 8 November 1962.

Streets in Jerusalem, Netanya, Bnei Brak, Herzliya, Ashkelon and Rishon LeZion were named after him.