Abstract: According to the feature of jointed rock masses,a computational model of toughening of rock masses re-inforced with belts is presented in this paper. Based on the self-consistent principle in reinforced damaged solid,theequiva-lent flexibility tensor and damage tensor for the jointed rock masses reinforced with bolts are deduced by usingthe equivalently smearing method With the help of the theory of toughening in brittle materials,the damage evolu-tion equation is established based on the fracture propagation process of bolted joint cracks. Finally,a constitutive re-lation is proposed for this kind of rock mass.