Abstract: Results of numerical models for rock mass stress-strain behavior presented in the paper allow to reduce the risk of technogenic accidents during mineral deposits open-pit mining with taking into account the construction sequence, the pit depth and the degree of water cut. The methods in which the continuous medium is approximated by a discrete model at the stage of the numerical model development are referred to the computational methods of rock mass stress-strain behavior forecasting. In this case where further idealization when formulating and solving equations is not applied, integration is replaced by finite summation and partial differential equations are replaced by systems of linear algebraic or ordinary differential equations. In addition, the continuous medium is replaced by a discrete model having a finite number of degrees of freedom.