Fractured rock mass is one of the most important engineering materials for civil engineering in rock mass and rock layer, and has special failure model and constitutive relationship different from other man-made materials. A new numerical model is introduced and applied in studying the deformation, strength, and the failure mode of fractured rock mass, with the consideration of the damaged plasticity theory for intact rock, and joints distribution in fractured rock mass. A series of numerical experiments on jointed rock mass samples are performed to verify the validity of the new numerical model for fractured rock sample. Some feature datum from lab experiment is used to compare the results from numerical tests by the new model. According to these results, the initiation and propagation of induced fracture, and the failure mode of the fractured rock mass samples, are agreed with their associated feature datum by lab experiments.