According to the sixth edition of the "Publication Manual of the American Psychological Association," most APA style citations acknowledge sources by using the author's last name and the publication year in the text, with the remainder of the bibliographical information on a reference page at the end. Classical sources such as the Bible differ, however.
Rather than including information about the Bible on the references page, APA style gives more detail about the source in the parenthetical citation. List the book, chapter and verse for the portion you quote or paraphrase with a colon between the chapter and verse: (Gen. 3:7-8). Page numbers may not remain consistent among versions, but chapter and verse numbers are standard. The wording of passages varies depending on which version you quote, so your first reference to the Bible should also name the version, as in this example: (Gen. 3:7-8, King James Version). The manual does not list abbreviations for the books, so follow standard abbreviations.