Granot was born Abraham Granovsky in Făleşti, in the Beletsky Uyezd of the Bessarabia Governorate of the Russian Empire (today Moldova) in 1890.

After moving to Palestine in 1907 he attended Gymnasia Herzliya in Tel Aviv.

[1] In 1919 he began working for the Jewish National Fund (JNF) in the Hague, and was relocated to Jerusalem in 1922.

[1] Granot was a member of the New Aliyah Party and one of the signers of the Israeli declaration of independence in 1948.

He was head of several public corporations, and sat on the Board of Governors of the Hebrew University of Jerusalem and the Weizmann Institute of Science.