Discontinuity is one of the most important anisotropy factors in rock masses and has a great influence on the mechanical behavior and stability of rock conditions. Hence, modeling the geometry of discontinuities in the rock masses associated with civil and mining projects is very important. In addition, mechanical properties and geometrical properties of discontinuities, the discontinuity angle to the major principal stress (? 1 ) is one of the most important discontinuities that has a significant effect on the amount of rock strength. In this study, in order to study the effect of the angle of discontinuity on the single-ended compressive strength, the data in the various articles have been compiled, compared and interpreted. Also, after examining the predictive methods and existing experimental criteria, using the available data, an empirical criterion using nonlinear regression based on the Bienwisky and Hoek-Brown relationships is presented to predict the strength conditions in the rocks under the influence of different angles of discontinuity. These relationships were also investigated using data from concrete lab models made with different discontinuity angles. The results showed that the relationships provide a good fit with laboratory data.