The mass attenuation coefficients, µ m , of biological materials have been studied as a function of weight fraction of constituent elements (hydrogen, carbon, oxygen and nitrogen). A considerable change in µ m is seen only in low energy region whereas no change is observed with the increasing percentage of constituent elements in high energy region up to 10 MeV. The results have been presented in graphical form.That the radiations can be hazardous as well as useful to different organisms of the body is well-known to any informed person today. Their penetration and diffusion in body can be characterized by the study of a parameter namely photon attenuation coefficient. A large number of photon attenuation measurements, calculations and compilations have been made for different materials [1][2][3][4][5][6][7][8]. The attenuation coefficient has been studied as a function of different parameters. But such studies have to give more attention to biological materials. So in this direction an attempt has been made to study the effect of H, C, O and N weight fractions on the mass attenuation coefficient of biological materials which are listed in table 1.The total mass attenuation coefficients of the chosen biological materials were computed with the help of a convenient and state-of-the-art computer program by Berger and Hubbell [9] named XCOM: 'Photon Cross Sections on a Personal Computer', in the energy range up to 10 MeV.The variation of the computed values of µ m due to weight fractions of different constituent elements is shown in the form of graphs (figures 1-4). Figure 1 depicts the plot of µ m vs. hydrogen weight fraction. From this graph, it is seen that at low energies up to 0.8 MeV, initially there is a sharp decrease in µ m having a large negative slope and then in the middle energy region slope is positive with small value 151