The continuum damage concept is used to study the interaction between hydraulic fractures and natural fractures through a model, whose objective is to represent the path of propagation and the relationship between these two types of fractures, as well as predict their complex behavior without the need to predefine its direction as it occurs in other applications of finite elements, providing results more consistent with the physical behavior of the phenomenon. The approach uses finite element simulations through Abaqus software to model damage fracturing or fracturing process by damage propagation in a rock. The modeling the phenomenon develops in two dimensional (2D) so that the fracture will be represented by a line and the crack front by a point. It considers nonlinear constitutive behavior, finite strain, time-dependent deformation, strain hardening and softening, and strain based damage evolution in compression and tension.&nbsp