Abstract. The paper deals with a discretized problem of shape optimization of elastic bodies in unilateral contact. The aim is to extend the existing results to the case of contact problems following the Coulomb friction law. Mathematical model of the Coulomb friction problem leads to a quasi-variational inequality. It is shown that for small coefficients of friction, the discretized problem with Coulomb friction has a unique solution and that this solution is Lipschitzian as a function of a control variable, describing the shape of the elastic body.