Predicting the characteristics of the reservoir, including permeability, is one of the most complex and important issues in hydrocarbon exploration and field development, and plays a vital role in describing the reservoir. Permeability is an indicator of the ease of flow of a fluid through a material and is defined in petroleum engineering as the ability of a porous rock to pass oil or gas. A porous rock is not necessarily permeable, and permeability indicates the relationship between vacant spaces and the ease of fluid flow between these spaces. The permeability resulting from small reservoir fractures is one of the important types of permeability and plays an important role in the productivity of the reservoir, so its simulation is important. To simulate the fractured permeability, it is necessary to obtain the reservoir fracture model. This can be done using fracture image log and seismic data and appropriate attributes using ant tracking method. In this study, first the reservoir fracture model was obtained and the resulting permeability was simulated in three different directions. The final results showed that the permeability of the simulated fracture in line Z is the highest value, which is consistent with the tectonic direction of the fault and fracture in the region, which confirms the accuracy and reliability of the obtained model.