The radiation mass attenuation coefficients of composite material samples as shielding materials have been calculated at 356, 511, 662, 1173, 1274 and 1332 keV photon energies by using general purpose Monte Carlo code MCNPX (version 2.6.0). The obtained numerical results agree well with experimental and standard XCOM data. As a result, the maximum values of mass attenuation coefficients are found for D1 and D2 composite material samples. It can be concluded that, new generation composite materials can be alternative shielding materials against gamma-ray radiation and Monte Carlo method can be employed for similar material investigations as an alternate tool for assessment.