Prof. Shetreet comes from a religious family. He had his elementary studies in Jewish religious school and he also attended a Yeshiva in his youth years. When he was 13 he won the first Bible youth Contest in Israel. He pursued his scholarly interest in Bible studies .He was a permanent member of the Bible Study Group of scholars that was hosted by Prime Minister Menachem Begin for about three years. He delivered papers in this group on Ethics in Government in Biblical and Jewish Law, The Powers of the King to Confiscate Property in Biblical and Jewish Law and Freedom of Conscience in the Bible.
Prof. Shetreet is married to Miri, a social worker, and they have four children.