In this study, the Linear attenuation coefficient of two series of concrete samples containing barite powder with sand replacement, with and without graphite powder under gamma-ray with a Cs-137 source was investigated. The compressive strength and ultrasonic pulse rate were also determined. All concrete specimens containing cementitious materials of 400 Kg/m3 and 0/4% water to cement ratio are presented in two series. Concrete samples in the first series consisted of barite powder with 10%, 25%, 50%, 75% and 100% sand replacement, and in the second series, barite powder with the above different percentages including 10% graphite powder was prepared. The result of the research was that a sample containing 10% of barite powder plus 10% of graphite powder could be the optimum value for protecting against gamma-ray.