This paper focuses on the mechanical hysteresis in elastomers, i.e. the difference between loading and unloading paths. This property can be time-dependent as well as time-independent, depending on the physical phenomena that come into play. Similarly, mechanical hysteresis can be affected or not by material anisotropy. In this context, the present study is devoted to the modeling of time-independent hysteresis, in the framework of material anisotropy, accommodated to the Mullins effect. For this purpose, directional model is used to predict the tridimensional response of such materials. The proposed model is based on the stress decomposition into two parts. The first one represents the hyperelasticity of the macromolecular network, whereas the second part represents the friction in the network, i.e. the hysteretic part. Experiments were carried with filled silicone rubber and results show that the model predictions and experimental curves fit well.