One of phenomena which cannot be avoided in the hip prosthesis due to sliding contact as a product of human activity is wear on the surface of contact interaction Wear in the bipolar model is more complicated than the unipolar model. There are two contact interaction in the bipolar model, while the unipolar model has only one contact interaction. Wear on the liner and cup surfaces of the bipolar model itself can be early estimated by investigation the contact stresses due to their contact interactions. The contact stress on the liner surface of unipolar model can be estimated using analytical method. However, the estimation of contact stress on the liner and cup surface of the bipolar model using analytical method still need to consider. The aiming of this paper is to study the contact stresses on the liner and cup surfaces in the bipolar model of hip prosthesis using the finite element simulation. There are three model of hip prostheses which are simulated in this research, i.e. the unipolar, bipolar and big head unipolar models. The result showed that the maximum contact stress on the liner surface of bipolar model is higher than the unipolar model. The maximum contact stress on the cup surface of the bipolar model is lower than the big head unipolar model. Based on this results, it can be concluded that the contact stress on the liner and cup surfaces of the bipolar model cannot be estimated using analytical method.