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It is clear from the papers concerning money that a coin cannot be neglected and depended upon by the researchers and learners in much matters where the accurate information which engraved on it like: Islamic western towns ,years different designs distinct next of it and etc... The present study is one of the archeological studies related to a number of Abbasside caliphs by means of their money in an important era extended from 298-339 A.H The investigation also deals with the political and economic domains at this time. In addition, different golden and silver coins found in British museum have been investigated by researchers which they are about (30) coins among which a comparable dinar dated to al-Radibillah (325AH) The money in this study is investigated scientifically according to their time succession, i.e., begins with al-muktafibillah (289- 2952AH). For instance, a number of scattered dirhams and dinars of some caliphs mentioned earlier in this research. Finally a great deal of thanks is due to the staff of the British museum for their help to achieve this study .