The exposure buildup factors are very important for the calculation of radiation shielding and also applied radiation. We must distinguish the monoenergetic and continuous energy spectrum gamma source in order to calculate the exposure buildup factors. In this study, the exposure buildup factors for two X-ray continuous energy spectrum (bremsstrahlung) with ۵ and ۱۰ MeV endpoint energy were calculated up to depths ۱۰ mfp of water. It was observed that there is a large difference between the obtained exposure buildup factors due to the monoenergetic and continuous energy spectrum gamma source. The calculation results show that the relative differences in ۵ MeV energy for ۱  mfp to ۱۰ mfp are ۱۱۴% to ۴۴%, respectively, and also the relative differences in ۱۰ MeV energy for ۱ mfp to ۱۰ mfp are ۸۷% to ۳۸%, respectively. Actually, the main purpose of this paper is to illustrate the fact that there is a significant difference between the exposure buildup factor due to the continuous and monoenergetic gamma source. Therefore, radiation staffs must pay more attention to calculate the thickness of the radiation shields for continuous energy gamma source.