Hacham, son of Shlomo, was born in Marrakesh, Morocco, where he obtained his Torah education and was ordained to the rabbinate. He became known as a kabbalist and halakhic adjudicator, and was Chief Rabbi in the port city of Safi, Morocco. He is quoted in books by the sages of his generation, including Hacham Yosef Messas, Hacham Yosef Benaim and Hacham David Sabbah.
Hacham Baruch Assebag married Hanina Ish-Yemini. In 1884, he established the Etz Chaim yeshiva in Safi. He invited Rabbi Shimon Baruch Ohayon to teach there, housed him, and was like a father to him.
Hacham Baruch Assebag passed away on 3 Adar 5706 (1946) and was buried in Safi. Among his published works are Minchat Moshe – a work of kabbala, published in the memory of his son Moshe, who died at an early age, Korban Mincha and Mincha Belula – religious laws, morals and sermons, written in Hebrew and Arabic.