Abstarct: The most important theoretical results in probability theory, limit theorems, which are the most important cases as the law of large numbers or central limit theorems have been classified. As the law of large numbers of cases are associated with the conditions under which conditions Mean a sequence of random variables converge to their average mathematics have hope. (With the assumption that at least they have a finite first moment). Many researchers have conducted research to improve the law of large numbers. Finally, these studies were able to show two forms of the law of large numbers. As with the "strong" and the "weak" are known. In this thesis, we get the strong law of large numbers in the case of variables with identically distribution and none- moment.