Baruch Gigi was born in Morocco and immigrated to Israel at the age of 11. He first attended Yeshivat Har Etzion as a student in 1974 after studying in a yeshiva high school in Haifa. He was ordained by the Chief Rabbinate of Israel and received a BEd degree from Herzog College. From 1982 to 1988, he taught in Yeshivat Ma'alot in the town of Ma'alot-Tarshiha and since then has been teaching in Yeshivat Har Etzion.
He also serves as the rabbi of the Sephardi synagogue in Alon Shvut (the town where the yeshiva is located), and he teaches several classes in the women's institutions Midreshet Lindenbaum and Migdal Oz.