According to Hugh Nibley, the meaning of the name "Omni" is very obvious. It means belonging to Amon. Remember, Amon is the name in the Book of Mormon. There are more Ammon names and Amon compounds than anything else because actually in the time of Lehi Amon was the god of the empire. It was the one time when God filled the earth. Amon filled the earth with the Egyptian Empire. They claimed everything, but always in the name of Amon. We have the marvelous sermons of Wenamun, the Egyptian ambassador to the court of Biblos. He was on business there when he talked about "Amon who rules all the seas and rules all nations." We have songs in which we refer to Adam-ondi-Ahman and Amon as a epithet for God. Actually, it means "the one who is not known, the secret one whom we can't name, whose name is not known to us." But Omni means he who belongs to Amon. [Hugh W. Nibley, Teachings of the Book of Mormon, Semester 1, pp. 425-426]