The construction of surgery simulators will be a key tool in the development and diffusion of minimally invasive surgery. Nowadays, most simulators are oriented to training surgeons in only one surgery technique. Most of them only permit the modelling of tissues with only one kind of deformable model. In this paper, we present our generic surgery simulator for minimally invasive surgery. In this surgery simulator, surgeons can construct any surgery scenario that they want to practice. Our surgery simulator permits the surgeons to select the deformable model that best adjusts to the biomechanical properties of each organ. Once the surgeon has finished the training, our surgery simulator can generate a report that contains an assessment evaluation of that training.