In medical simulations, finite element (FE) models are often extracted from medical images. This initial geometry usually corresponds to a state of the model at equilibrium between external and internal forces. Therefore, an important issue in biomechanics is to estimate the initial stress of FE model before running a simulation. this paper introduces a biomechanical model of the brain that will be used to model brain-shift during surgery. The initial stress is estimated for this model by taking into account gravity.