Hacham Abraham Abuhatzeira was born to Esther and Yitzhak in 1915, in Tafilalt, Morocco. He learned Torah from his father, Hacham Yitzhak Abuhatzeira – the Baba Khaki, and from his uncle Hacham Israel Abuhatzeira, the Baba Sali.
In 1929 he married his cousin Rakhma, Hacham Israel Abuhatzeira's eldest daughter. He immigrated to Israel with his family in 1949, and began to officiate as the town of Yavneh's rabbi. He remained in this position for 20 years. In 1970, following the death of his father, Rabbi of the city of Ramleh, he agreed to inherit his position and served in this role for the remainder of his life.
Hacham Abraham Abuhatzeira passed away on 22 Kislev, 5734 (1974), leaving behind a large collection of writings that were collated into a book entitled Toldot Abraham.