One of the main problems in studying the Ancient Iraqi civilization is the nature of its society and whether it was comprised of three or only two social classes. Many studies and papers have been appeared during the last century on this particular issue owing to the fact that there several terms which were used in Akkadian cuneiform texts denote to the different social classes in the Old Babylonian Period. As a result of that different scholars have translated these terms in different ways. Unfortunately no detailed Arabic study is available on this problem. It is hoped that this study will give a detailed scientific study on the problem. It is obvious from the title of the thesis that our main sources were cuneiform texts