In order to study the compressive failure characteristics of layered rock mass and build the corresponding theoretical model, the fast lagrangian method was adopted to address numerical simulation of the layered rock mass under triaxial compression. The relationship between compressive strength and inclination of structure plane was analyzed, and a theoretical model was proposed to describe their relationship. The test data from the foreign references were described by the theoretical model and the relationship between loading velocity and the compressive strength was analyzed. It was shown that, the fitting model can well describe the strength characteristics of stratified rock mass, which was validated by the numerical test and laboratory test. And the compressive strength of rock mass increased linearly with the increase of loading velocity. 